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Finding the Third Proportional to 140,416 and 304,664

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Solution

The third proportional to 140,416 and 304,664 is: 661,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,416 : 304,664 = 304,664 : x
  2. Step 2: Convert to fraction form
    140,416/304,664 = 304,664/x
  3. Step 3: Cross multiply
    140,416x = 304,664 × 304,664
  4. Step 4: Simplify right side
    140,416x = 92,820,152,896
  5. Step 5: Solve for x
    x = 92,820,152,896/140,416
  6. Step 6: Final answer
    x = 661,036.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.