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Finding the Third Proportional to 108,973 and 233,498

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Solution

The third proportional to 108,973 and 233,498 is: 500,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,973 : 233,498 = 233,498 : x
  2. Step 2: Convert to fraction form
    108,973/233,498 = 233,498/x
  3. Step 3: Cross multiply
    108,973x = 233,498 × 233,498
  4. Step 4: Simplify right side
    108,973x = 54,521,316,004
  5. Step 5: Solve for x
    x = 54,521,316,004/108,973
  6. Step 6: Final answer
    x = 500,319.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.