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Finding the Third Proportional to 229,526.25 and 497,167.50

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Solution

The third proportional to 229,526.25 and 497,167.50 is: 1,076,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,526.25 : 497,167.50 = 497,167.50 : x
  2. Step 2: Convert to fraction form
    229,526.25/497,167.50 = 497,167.50/x
  3. Step 3: Cross multiply
    229,526.25x = 497,167.50 × 497,167.50
  4. Step 4: Simplify right side
    229,526.25x = 247,175,523,056.25
  5. Step 5: Solve for x
    x = 247,175,523,056.25/229,526.25
  6. Step 6: Final answer
    x = 1,076,894.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.