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Finding the Third Proportional to 132,413.06 and 289,413

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Solution

The third proportional to 132,413.06 and 289,413 is: 632,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.06 : 289,413 = 289,413 : x
  2. Step 2: Convert to fraction form
    132,413.06/289,413 = 289,413/x
  3. Step 3: Cross multiply
    132,413.06x = 289,413 × 289,413
  4. Step 4: Simplify right side
    132,413.06x = 83,759,884,569
  5. Step 5: Solve for x
    x = 83,759,884,569/132,413.06
  6. Step 6: Final answer
    x = 632,565.12

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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.