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Finding the Third Proportional to 162,315 and 354,154

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Solution

The third proportional to 162,315 and 354,154 is: 772,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,315 : 354,154 = 354,154 : x
  2. Step 2: Convert to fraction form
    162,315/354,154 = 354,154/x
  3. Step 3: Cross multiply
    162,315x = 354,154 × 354,154
  4. Step 4: Simplify right side
    162,315x = 125,425,055,716
  5. Step 5: Solve for x
    x = 125,425,055,716/162,315
  6. Step 6: Final answer
    x = 772,726.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.