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Finding the Third Proportional to 130,914.25 and 282,494.69

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Solution

The third proportional to 130,914.25 and 282,494.69 is: 609,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914.25 : 282,494.69 = 282,494.69 : x
  2. Step 2: Convert to fraction form
    130,914.25/282,494.69 = 282,494.69/x
  3. Step 3: Cross multiply
    130,914.25x = 282,494.69 × 282,494.69
  4. Step 4: Simplify right side
    130,914.25x = 79,803,248,465.72
  5. Step 5: Solve for x
    x = 79,803,248,465.72/130,914.25
  6. Step 6: Final answer
    x = 609,584.12

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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.