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Finding the Third Proportional to 141,640 and 304,332.50

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Solution

The third proportional to 141,640 and 304,332.50 is: 653,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,640 : 304,332.50 = 304,332.50 : x
  2. Step 2: Convert to fraction form
    141,640/304,332.50 = 304,332.50/x
  3. Step 3: Cross multiply
    141,640x = 304,332.50 × 304,332.50
  4. Step 4: Simplify right side
    141,640x = 92,618,270,556.25
  5. Step 5: Solve for x
    x = 92,618,270,556.25/141,640
  6. Step 6: Final answer
    x = 653,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.