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Finding the Third Proportional to 74,382 and 163,506

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Solution

The third proportional to 74,382 and 163,506 is: 359,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382 : 163,506 = 163,506 : x
  2. Step 2: Convert to fraction form
    74,382/163,506 = 163,506/x
  3. Step 3: Cross multiply
    74,382x = 163,506 × 163,506
  4. Step 4: Simplify right side
    74,382x = 26,734,212,036
  5. Step 5: Solve for x
    x = 26,734,212,036/74,382
  6. Step 6: Final answer
    x = 359,417.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.