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Finding the Third Proportional to 158,924 and 316,025

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Solution

The third proportional to 158,924 and 316,025 is: 628,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,924 : 316,025 = 316,025 : x
  2. Step 2: Convert to fraction form
    158,924/316,025 = 316,025/x
  3. Step 3: Cross multiply
    158,924x = 316,025 × 316,025
  4. Step 4: Simplify right side
    158,924x = 99,871,800,625
  5. Step 5: Solve for x
    x = 99,871,800,625/158,924
  6. Step 6: Final answer
    x = 628,424.91

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.