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Finding the Third Proportional to 181,801.13 and 312,616.13

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Solution

The third proportional to 181,801.13 and 312,616.13 is: 537,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,801.13 : 312,616.13 = 312,616.13 : x
  2. Step 2: Convert to fraction form
    181,801.13/312,616.13 = 312,616.13/x
  3. Step 3: Cross multiply
    181,801.13x = 312,616.13 × 312,616.13
  4. Step 4: Simplify right side
    181,801.13x = 97,728,841,610.02
  5. Step 5: Solve for x
    x = 97,728,841,610.02/181,801.13
  6. Step 6: Final answer
    x = 537,559.06

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.