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Finding the Third Proportional to 108,681 and 224,346

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Solution

The third proportional to 108,681 and 224,346 is: 463,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,681 : 224,346 = 224,346 : x
  2. Step 2: Convert to fraction form
    108,681/224,346 = 224,346/x
  3. Step 3: Cross multiply
    108,681x = 224,346 × 224,346
  4. Step 4: Simplify right side
    108,681x = 50,331,127,716
  5. Step 5: Solve for x
    x = 50,331,127,716/108,681
  6. Step 6: Final answer
    x = 463,108.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.