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Finding the Third Proportional to 135,702 and 289,440

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Solution

The third proportional to 135,702 and 289,440 is: 617,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702 : 289,440 = 289,440 : x
  2. Step 2: Convert to fraction form
    135,702/289,440 = 289,440/x
  3. Step 3: Cross multiply
    135,702x = 289,440 × 289,440
  4. Step 4: Simplify right side
    135,702x = 83,775,513,600
  5. Step 5: Solve for x
    x = 83,775,513,600/135,702
  6. Step 6: Final answer
    x = 617,349.14

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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.