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Finding the Third Proportional to 144,564 and 306,624

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Solution

The third proportional to 144,564 and 306,624 is: 650,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564 : 306,624 = 306,624 : x
  2. Step 2: Convert to fraction form
    144,564/306,624 = 306,624/x
  3. Step 3: Cross multiply
    144,564x = 306,624 × 306,624
  4. Step 4: Simplify right side
    144,564x = 94,018,277,376
  5. Step 5: Solve for x
    x = 94,018,277,376/144,564
  6. Step 6: Final answer
    x = 650,357.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.