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Finding the Third Proportional to 180,488.25 and 286,041.38

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Solution

The third proportional to 180,488.25 and 286,041.38 is: 453,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,488.25 : 286,041.38 = 286,041.38 : x
  2. Step 2: Convert to fraction form
    180,488.25/286,041.38 = 286,041.38/x
  3. Step 3: Cross multiply
    180,488.25x = 286,041.38 × 286,041.38
  4. Step 4: Simplify right side
    180,488.25x = 81,819,668,211.89
  5. Step 5: Solve for x
    x = 81,819,668,211.89/180,488.25
  6. Step 6: Final answer
    x = 453,324.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.