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Finding the Third Proportional to 227,828.25 and 353,677.50

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Solution

The third proportional to 227,828.25 and 353,677.50 is: 549,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,828.25 : 353,677.50 = 353,677.50 : x
  2. Step 2: Convert to fraction form
    227,828.25/353,677.50 = 353,677.50/x
  3. Step 3: Cross multiply
    227,828.25x = 353,677.50 × 353,677.50
  4. Step 4: Simplify right side
    227,828.25x = 125,087,774,006.25
  5. Step 5: Solve for x
    x = 125,087,774,006.25/227,828.25
  6. Step 6: Final answer
    x = 549,044.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.