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Finding the Third Proportional to 140,451 and 307,179

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Solution

The third proportional to 140,451 and 307,179 is: 671,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451 : 307,179 = 307,179 : x
  2. Step 2: Convert to fraction form
    140,451/307,179 = 307,179/x
  3. Step 3: Cross multiply
    140,451x = 307,179 × 307,179
  4. Step 4: Simplify right side
    140,451x = 94,358,938,041
  5. Step 5: Solve for x
    x = 94,358,938,041/140,451
  6. Step 6: Final answer
    x = 671,828.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.