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Finding the Third Proportional to 144,181 and 316,429

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Solution

The third proportional to 144,181 and 316,429 is: 694,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,181 : 316,429 = 316,429 : x
  2. Step 2: Convert to fraction form
    144,181/316,429 = 316,429/x
  3. Step 3: Cross multiply
    144,181x = 316,429 × 316,429
  4. Step 4: Simplify right side
    144,181x = 100,127,312,041
  5. Step 5: Solve for x
    x = 100,127,312,041/144,181
  6. Step 6: Final answer
    x = 694,455.66

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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.