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Finding the Third Proportional to 151,572 and 237,078

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Solution

The third proportional to 151,572 and 237,078 is: 370,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,572 : 237,078 = 237,078 : x
  2. Step 2: Convert to fraction form
    151,572/237,078 = 237,078/x
  3. Step 3: Cross multiply
    151,572x = 237,078 × 237,078
  4. Step 4: Simplify right side
    151,572x = 56,205,978,084
  5. Step 5: Solve for x
    x = 56,205,978,084/151,572
  6. Step 6: Final answer
    x = 370,820.32

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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.