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Finding the Third Proportional to 257,154.75 and 564,124.50

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Solution

The third proportional to 257,154.75 and 564,124.50 is: 1,237,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,154.75 : 564,124.50 = 564,124.50 : x
  2. Step 2: Convert to fraction form
    257,154.75/564,124.50 = 564,124.50/x
  3. Step 3: Cross multiply
    257,154.75x = 564,124.50 × 564,124.50
  4. Step 4: Simplify right side
    257,154.75x = 318,236,451,500.25
  5. Step 5: Solve for x
    x = 318,236,451,500.25/257,154.75
  6. Step 6: Final answer
    x = 1,237,528.96

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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.