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Finding the Third Proportional to 158,008 and 223,574

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Solution

The third proportional to 158,008 and 223,574 is: 316,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,008 : 223,574 = 223,574 : x
  2. Step 2: Convert to fraction form
    158,008/223,574 = 223,574/x
  3. Step 3: Cross multiply
    158,008x = 223,574 × 223,574
  4. Step 4: Simplify right side
    158,008x = 49,985,333,476
  5. Step 5: Solve for x
    x = 49,985,333,476/158,008
  6. Step 6: Final answer
    x = 316,346.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.