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Finding the Third Proportional to 153,101 and 328,350

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Solution

The third proportional to 153,101 and 328,350 is: 704,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,101 : 328,350 = 328,350 : x
  2. Step 2: Convert to fraction form
    153,101/328,350 = 328,350/x
  3. Step 3: Cross multiply
    153,101x = 328,350 × 328,350
  4. Step 4: Simplify right side
    153,101x = 107,813,722,500
  5. Step 5: Solve for x
    x = 107,813,722,500/153,101
  6. Step 6: Final answer
    x = 704,199.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.