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Finding the Third Proportional to 130,475 and 282,535

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Solution

The third proportional to 130,475 and 282,535 is: 611,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475 : 282,535 = 282,535 : x
  2. Step 2: Convert to fraction form
    130,475/282,535 = 282,535/x
  3. Step 3: Cross multiply
    130,475x = 282,535 × 282,535
  4. Step 4: Simplify right side
    130,475x = 79,826,026,225
  5. Step 5: Solve for x
    x = 79,826,026,225/130,475
  6. Step 6: Final answer
    x = 611,810.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.