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Finding the Third Proportional to 141,340.50 and 218,572

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Solution

The third proportional to 141,340.50 and 218,572 is: 338,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,340.50 : 218,572 = 218,572 : x
  2. Step 2: Convert to fraction form
    141,340.50/218,572 = 218,572/x
  3. Step 3: Cross multiply
    141,340.50x = 218,572 × 218,572
  4. Step 4: Simplify right side
    141,340.50x = 47,773,719,184
  5. Step 5: Solve for x
    x = 47,773,719,184/141,340.50
  6. Step 6: Final answer
    x = 338,004.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.