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Finding the Third Proportional to 232,807.50 and 369,258.75

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Solution

The third proportional to 232,807.50 and 369,258.75 is: 585,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,807.50 : 369,258.75 = 369,258.75 : x
  2. Step 2: Convert to fraction form
    232,807.50/369,258.75 = 369,258.75/x
  3. Step 3: Cross multiply
    232,807.50x = 369,258.75 × 369,258.75
  4. Step 4: Simplify right side
    232,807.50x = 136,352,024,451.56
  5. Step 5: Solve for x
    x = 136,352,024,451.56/232,807.50
  6. Step 6: Final answer
    x = 585,685.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.