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Finding the Third Proportional to 103,869.50 and 229,537

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Solution

The third proportional to 103,869.50 and 229,537 is: 507,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,869.50 : 229,537 = 229,537 : x
  2. Step 2: Convert to fraction form
    103,869.50/229,537 = 229,537/x
  3. Step 3: Cross multiply
    103,869.50x = 229,537 × 229,537
  4. Step 4: Simplify right side
    103,869.50x = 52,687,234,369
  5. Step 5: Solve for x
    x = 52,687,234,369/103,869.50
  6. Step 6: Final answer
    x = 507,244.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.