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Finding the Third Proportional to 145,527.38 and 318,108.75

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Solution

The third proportional to 145,527.38 and 318,108.75 is: 695,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,527.38 : 318,108.75 = 318,108.75 : x
  2. Step 2: Convert to fraction form
    145,527.38/318,108.75 = 318,108.75/x
  3. Step 3: Cross multiply
    145,527.38x = 318,108.75 × 318,108.75
  4. Step 4: Simplify right side
    145,527.38x = 101,193,176,826.56
  5. Step 5: Solve for x
    x = 101,193,176,826.56/145,527.38
  6. Step 6: Final answer
    x = 695,354.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.