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Finding the Third Proportional to 130,759 and 282,254

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Solution

The third proportional to 130,759 and 282,254 is: 609,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,759 : 282,254 = 282,254 : x
  2. Step 2: Convert to fraction form
    130,759/282,254 = 282,254/x
  3. Step 3: Cross multiply
    130,759x = 282,254 × 282,254
  4. Step 4: Simplify right side
    130,759x = 79,667,320,516
  5. Step 5: Solve for x
    x = 79,667,320,516/130,759
  6. Step 6: Final answer
    x = 609,268.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.