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Finding the Third Proportional to 155,470.50 and 237,712.50

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Solution

The third proportional to 155,470.50 and 237,712.50 is: 363,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,470.50 : 237,712.50 = 237,712.50 : x
  2. Step 2: Convert to fraction form
    155,470.50/237,712.50 = 237,712.50/x
  3. Step 3: Cross multiply
    155,470.50x = 237,712.50 × 237,712.50
  4. Step 4: Simplify right side
    155,470.50x = 56,507,232,656.25
  5. Step 5: Solve for x
    x = 56,507,232,656.25/155,470.50
  6. Step 6: Final answer
    x = 363,459.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.