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Finding the Third Proportional to 136,526 and 283,948

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Solution

The third proportional to 136,526 and 283,948 is: 590,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,526 : 283,948 = 283,948 : x
  2. Step 2: Convert to fraction form
    136,526/283,948 = 283,948/x
  3. Step 3: Cross multiply
    136,526x = 283,948 × 283,948
  4. Step 4: Simplify right side
    136,526x = 80,626,466,704
  5. Step 5: Solve for x
    x = 80,626,466,704/136,526
  6. Step 6: Final answer
    x = 590,557.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.