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Finding the Third Proportional to 130,864.50 and 282,465

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Solution

The third proportional to 130,864.50 and 282,465 is: 609,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,864.50 : 282,465 = 282,465 : x
  2. Step 2: Convert to fraction form
    130,864.50/282,465 = 282,465/x
  3. Step 3: Cross multiply
    130,864.50x = 282,465 × 282,465
  4. Step 4: Simplify right side
    130,864.50x = 79,786,476,225
  5. Step 5: Solve for x
    x = 79,786,476,225/130,864.50
  6. Step 6: Final answer
    x = 609,687.70

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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.