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Finding the Third Proportional to 152,687.53 and 237,756.52

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Solution

The third proportional to 152,687.53 and 237,756.52 is: 370,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,687.53 : 237,756.52 = 237,756.52 : x
  2. Step 2: Convert to fraction form
    152,687.53/237,756.52 = 237,756.52/x
  3. Step 3: Cross multiply
    152,687.53x = 237,756.52 × 237,756.52
  4. Step 4: Simplify right side
    152,687.53x = 56,528,160,722.14
  5. Step 5: Solve for x
    x = 56,528,160,722.14/152,687.53
  6. Step 6: Final answer
    x = 370,221.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.