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Finding the Third Proportional to 151,567 and 237,070

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Solution

The third proportional to 151,567 and 237,070 is: 370,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,567 : 237,070 = 237,070 : x
  2. Step 2: Convert to fraction form
    151,567/237,070 = 237,070/x
  3. Step 3: Cross multiply
    151,567x = 237,070 × 237,070
  4. Step 4: Simplify right side
    151,567x = 56,202,184,900
  5. Step 5: Solve for x
    x = 56,202,184,900/151,567
  6. Step 6: Final answer
    x = 370,807.53

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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.