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Finding the Third Proportional to 286,957.50 and 363,844.50

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Solution

The third proportional to 286,957.50 and 363,844.50 is: 461,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,957.50 : 363,844.50 = 363,844.50 : x
  2. Step 2: Convert to fraction form
    286,957.50/363,844.50 = 363,844.50/x
  3. Step 3: Cross multiply
    286,957.50x = 363,844.50 × 363,844.50
  4. Step 4: Simplify right side
    286,957.50x = 132,382,820,180.25
  5. Step 5: Solve for x
    x = 132,382,820,180.25/286,957.50
  6. Step 6: Final answer
    x = 461,332.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.