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Finding the Third Proportional to 233,947.13 and 325,957.50

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Solution

The third proportional to 233,947.13 and 325,957.50 is: 454,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,947.13 : 325,957.50 = 325,957.50 : x
  2. Step 2: Convert to fraction form
    233,947.13/325,957.50 = 325,957.50/x
  3. Step 3: Cross multiply
    233,947.13x = 325,957.50 × 325,957.50
  4. Step 4: Simplify right side
    233,947.13x = 106,248,291,806.25
  5. Step 5: Solve for x
    x = 106,248,291,806.25/233,947.13
  6. Step 6: Final answer
    x = 454,155.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.