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Finding the Third Proportional to 158,306 and 252,435

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Solution

The third proportional to 158,306 and 252,435 is: 402,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306 : 252,435 = 252,435 : x
  2. Step 2: Convert to fraction form
    158,306/252,435 = 252,435/x
  3. Step 3: Cross multiply
    158,306x = 252,435 × 252,435
  4. Step 4: Simplify right side
    158,306x = 63,723,429,225
  5. Step 5: Solve for x
    x = 63,723,429,225/158,306
  6. Step 6: Final answer
    x = 402,533.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.