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Finding the Third Proportional to 77,410 and 156,948

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Solution

The third proportional to 77,410 and 156,948 is: 318,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410 : 156,948 = 156,948 : x
  2. Step 2: Convert to fraction form
    77,410/156,948 = 156,948/x
  3. Step 3: Cross multiply
    77,410x = 156,948 × 156,948
  4. Step 4: Simplify right side
    77,410x = 24,632,674,704
  5. Step 5: Solve for x
    x = 24,632,674,704/77,410
  6. Step 6: Final answer
    x = 318,210.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.