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Finding the Third Proportional to 141,076 and 307,384

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Solution

The third proportional to 141,076 and 307,384 is: 669,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,076 : 307,384 = 307,384 : x
  2. Step 2: Convert to fraction form
    141,076/307,384 = 307,384/x
  3. Step 3: Cross multiply
    141,076x = 307,384 × 307,384
  4. Step 4: Simplify right side
    141,076x = 94,484,923,456
  5. Step 5: Solve for x
    x = 94,484,923,456/141,076
  6. Step 6: Final answer
    x = 669,744.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.