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Finding the Third Proportional to 160,413.38 and 348,246.21

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Solution

The third proportional to 160,413.38 and 348,246.21 is: 756,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,413.38 : 348,246.21 = 348,246.21 : x
  2. Step 2: Convert to fraction form
    160,413.38/348,246.21 = 348,246.21/x
  3. Step 3: Cross multiply
    160,413.38x = 348,246.21 × 348,246.21
  4. Step 4: Simplify right side
    160,413.38x = 121,275,423,432.33
  5. Step 5: Solve for x
    x = 121,275,423,432.33/160,413.38
  6. Step 6: Final answer
    x = 756,018.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.