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Finding the Third Proportional to 151,530.75 and 237,707.16

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Solution

The third proportional to 151,530.75 and 237,707.16 is: 372,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,530.75 : 237,707.16 = 237,707.16 : x
  2. Step 2: Convert to fraction form
    151,530.75/237,707.16 = 237,707.16/x
  3. Step 3: Cross multiply
    151,530.75x = 237,707.16 × 237,707.16
  4. Step 4: Simplify right side
    151,530.75x = 56,504,692,132.46
  5. Step 5: Solve for x
    x = 56,504,692,132.46/151,530.75
  6. Step 6: Final answer
    x = 372,892.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.