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Finding the Third Proportional to 147,787.50 and 234,052.50

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Solution

The third proportional to 147,787.50 and 234,052.50 is: 370,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,787.50 : 234,052.50 = 234,052.50 : x
  2. Step 2: Convert to fraction form
    147,787.50/234,052.50 = 234,052.50/x
  3. Step 3: Cross multiply
    147,787.50x = 234,052.50 × 234,052.50
  4. Step 4: Simplify right side
    147,787.50x = 54,780,572,756.25
  5. Step 5: Solve for x
    x = 54,780,572,756.25/147,787.50
  6. Step 6: Final answer
    x = 370,671.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.