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Finding the Third Proportional to 149,560 and 322,602

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Solution

The third proportional to 149,560 and 322,602 is: 695,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,560 : 322,602 = 322,602 : x
  2. Step 2: Convert to fraction form
    149,560/322,602 = 322,602/x
  3. Step 3: Cross multiply
    149,560x = 322,602 × 322,602
  4. Step 4: Simplify right side
    149,560x = 104,072,050,404
  5. Step 5: Solve for x
    x = 104,072,050,404/149,560
  6. Step 6: Final answer
    x = 695,854.84

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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.