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Finding the Third Proportional to 235,801.13 and 333,330.19

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Solution

The third proportional to 235,801.13 and 333,330.19 is: 471,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,801.13 : 333,330.19 = 333,330.19 : x
  2. Step 2: Convert to fraction form
    235,801.13/333,330.19 = 333,330.19/x
  3. Step 3: Cross multiply
    235,801.13x = 333,330.19 × 333,330.19
  4. Step 4: Simplify right side
    235,801.13x = 111,109,013,898.79
  5. Step 5: Solve for x
    x = 111,109,013,898.79/235,801.13
  6. Step 6: Final answer
    x = 471,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.