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Finding the Third Proportional to 147,046 and 322,098

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Solution

The third proportional to 147,046 and 322,098 is: 705,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,046 : 322,098 = 322,098 : x
  2. Step 2: Convert to fraction form
    147,046/322,098 = 322,098/x
  3. Step 3: Cross multiply
    147,046x = 322,098 × 322,098
  4. Step 4: Simplify right side
    147,046x = 103,747,121,604
  5. Step 5: Solve for x
    x = 103,747,121,604/147,046
  6. Step 6: Final answer
    x = 705,541.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.