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Finding the Third Proportional to 141,496 and 306,320

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Solution

The third proportional to 141,496 and 306,320 is: 663,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,496 : 306,320 = 306,320 : x
  2. Step 2: Convert to fraction form
    141,496/306,320 = 306,320/x
  3. Step 3: Cross multiply
    141,496x = 306,320 × 306,320
  4. Step 4: Simplify right side
    141,496x = 93,831,942,400
  5. Step 5: Solve for x
    x = 93,831,942,400/141,496
  6. Step 6: Final answer
    x = 663,142.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.