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Finding the Third Proportional to 144,373 and 304,541

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Solution

The third proportional to 144,373 and 304,541 is: 642,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,373 : 304,541 = 304,541 : x
  2. Step 2: Convert to fraction form
    144,373/304,541 = 304,541/x
  3. Step 3: Cross multiply
    144,373x = 304,541 × 304,541
  4. Step 4: Simplify right side
    144,373x = 92,745,220,681
  5. Step 5: Solve for x
    x = 92,745,220,681/144,373
  6. Step 6: Final answer
    x = 642,400.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.