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Finding the Third Proportional to 162,282 and 354,088

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Solution

The third proportional to 162,282 and 354,088 is: 772,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,282 : 354,088 = 354,088 : x
  2. Step 2: Convert to fraction form
    162,282/354,088 = 354,088/x
  3. Step 3: Cross multiply
    162,282x = 354,088 × 354,088
  4. Step 4: Simplify right side
    162,282x = 125,378,311,744
  5. Step 5: Solve for x
    x = 125,378,311,744/162,282
  6. Step 6: Final answer
    x = 772,595.31

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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.