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Finding the Third Proportional to 243,347 and 524,135.50

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Solution

The third proportional to 243,347 and 524,135.50 is: 1,128,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,347 : 524,135.50 = 524,135.50 : x
  2. Step 2: Convert to fraction form
    243,347/524,135.50 = 524,135.50/x
  3. Step 3: Cross multiply
    243,347x = 524,135.50 × 524,135.50
  4. Step 4: Simplify right side
    243,347x = 274,718,022,360.25
  5. Step 5: Solve for x
    x = 274,718,022,360.25/243,347
  6. Step 6: Final answer
    x = 1,128,914.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.