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Finding the Third Proportional to 208,820 and 316,146

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Solution

The third proportional to 208,820 and 316,146 is: 478,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820 : 316,146 = 316,146 : x
  2. Step 2: Convert to fraction form
    208,820/316,146 = 316,146/x
  3. Step 3: Cross multiply
    208,820x = 316,146 × 316,146
  4. Step 4: Simplify right side
    208,820x = 99,948,293,316
  5. Step 5: Solve for x
    x = 99,948,293,316/208,820
  6. Step 6: Final answer
    x = 478,633.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.