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Finding the Third Proportional to 210,332 and 318,006

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Solution

The third proportional to 210,332 and 318,006 is: 480,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,332 : 318,006 = 318,006 : x
  2. Step 2: Convert to fraction form
    210,332/318,006 = 318,006/x
  3. Step 3: Cross multiply
    210,332x = 318,006 × 318,006
  4. Step 4: Simplify right side
    210,332x = 101,127,816,036
  5. Step 5: Solve for x
    x = 101,127,816,036/210,332
  6. Step 6: Final answer
    x = 480,800.91

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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.