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Finding the Third Proportional to 205,084 and 310,360

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Solution

The third proportional to 205,084 and 310,360 is: 469,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084 : 310,360 = 310,360 : x
  2. Step 2: Convert to fraction form
    205,084/310,360 = 310,360/x
  3. Step 3: Cross multiply
    205,084x = 310,360 × 310,360
  4. Step 4: Simplify right side
    205,084x = 96,323,329,600
  5. Step 5: Solve for x
    x = 96,323,329,600/205,084
  6. Step 6: Final answer
    x = 469,677.45

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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.