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Finding the Third Proportional to 138,445.45 and 286,498.90

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Solution

The third proportional to 138,445.45 and 286,498.90 is: 592,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,445.45 : 286,498.90 = 286,498.90 : x
  2. Step 2: Convert to fraction form
    138,445.45/286,498.90 = 286,498.90/x
  3. Step 3: Cross multiply
    138,445.45x = 286,498.90 × 286,498.90
  4. Step 4: Simplify right side
    138,445.45x = 82,081,618,805.90
  5. Step 5: Solve for x
    x = 82,081,618,805.90/138,445.45
  6. Step 6: Final answer
    x = 592,880.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.