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Finding the Third Proportional to 108,550 and 234,646

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Solution

The third proportional to 108,550 and 234,646 is: 507,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,550 : 234,646 = 234,646 : x
  2. Step 2: Convert to fraction form
    108,550/234,646 = 234,646/x
  3. Step 3: Cross multiply
    108,550x = 234,646 × 234,646
  4. Step 4: Simplify right side
    108,550x = 55,058,745,316
  5. Step 5: Solve for x
    x = 55,058,745,316/108,550
  6. Step 6: Final answer
    x = 507,220.13

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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.