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Finding the Third Proportional to 316,158 and 482,265

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Solution

The third proportional to 316,158 and 482,265 is: 735,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,158 : 482,265 = 482,265 : x
  2. Step 2: Convert to fraction form
    316,158/482,265 = 482,265/x
  3. Step 3: Cross multiply
    316,158x = 482,265 × 482,265
  4. Step 4: Simplify right side
    316,158x = 232,579,530,225
  5. Step 5: Solve for x
    x = 232,579,530,225/316,158
  6. Step 6: Final answer
    x = 735,643.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.