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Finding the Third Proportional to 149,395.50 and 322,560

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Solution

The third proportional to 149,395.50 and 322,560 is: 696,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,395.50 : 322,560 = 322,560 : x
  2. Step 2: Convert to fraction form
    149,395.50/322,560 = 322,560/x
  3. Step 3: Cross multiply
    149,395.50x = 322,560 × 322,560
  4. Step 4: Simplify right side
    149,395.50x = 104,044,953,600
  5. Step 5: Solve for x
    x = 104,044,953,600/149,395.50
  6. Step 6: Final answer
    x = 696,439.68

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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.