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Finding the Third Proportional to 73,347 and 160,693.13

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Solution

The third proportional to 73,347 and 160,693.13 is: 352,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,347 : 160,693.13 = 160,693.13 : x
  2. Step 2: Convert to fraction form
    73,347/160,693.13 = 160,693.13/x
  3. Step 3: Cross multiply
    73,347x = 160,693.13 × 160,693.13
  4. Step 4: Simplify right side
    73,347x = 25,822,280,422.27
  5. Step 5: Solve for x
    x = 25,822,280,422.27/73,347
  6. Step 6: Final answer
    x = 352,056.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.