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Finding the Third Proportional to 102,567 and 221,537

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Solution

The third proportional to 102,567 and 221,537 is: 478,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567 : 221,537 = 221,537 : x
  2. Step 2: Convert to fraction form
    102,567/221,537 = 221,537/x
  3. Step 3: Cross multiply
    102,567x = 221,537 × 221,537
  4. Step 4: Simplify right side
    102,567x = 49,078,642,369
  5. Step 5: Solve for x
    x = 49,078,642,369/102,567
  6. Step 6: Final answer
    x = 478,503.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.