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Finding the Third Proportional to 135,220 and 288,535

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Solution

The third proportional to 135,220 and 288,535 is: 615,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,220 : 288,535 = 288,535 : x
  2. Step 2: Convert to fraction form
    135,220/288,535 = 288,535/x
  3. Step 3: Cross multiply
    135,220x = 288,535 × 288,535
  4. Step 4: Simplify right side
    135,220x = 83,252,446,225
  5. Step 5: Solve for x
    x = 83,252,446,225/135,220
  6. Step 6: Final answer
    x = 615,681.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.