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Finding the Third Proportional to 149,292 and 219,582

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Solution

The third proportional to 149,292 and 219,582 is: 322,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292 : 219,582 = 219,582 : x
  2. Step 2: Convert to fraction form
    149,292/219,582 = 219,582/x
  3. Step 3: Cross multiply
    149,292x = 219,582 × 219,582
  4. Step 4: Simplify right side
    149,292x = 48,216,254,724
  5. Step 5: Solve for x
    x = 48,216,254,724/149,292
  6. Step 6: Final answer
    x = 322,966.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.