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Finding the Third Proportional to 162,506 and 354,820

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Solution

The third proportional to 162,506 and 354,820 is: 774,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,506 : 354,820 = 354,820 : x
  2. Step 2: Convert to fraction form
    162,506/354,820 = 354,820/x
  3. Step 3: Cross multiply
    162,506x = 354,820 × 354,820
  4. Step 4: Simplify right side
    162,506x = 125,897,232,400
  5. Step 5: Solve for x
    x = 125,897,232,400/162,506
  6. Step 6: Final answer
    x = 774,723.59

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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.