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Finding the Third Proportional to 255,906 and 387,382.50

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Solution

The third proportional to 255,906 and 387,382.50 is: 586,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906 : 387,382.50 = 387,382.50 : x
  2. Step 2: Convert to fraction form
    255,906/387,382.50 = 387,382.50/x
  3. Step 3: Cross multiply
    255,906x = 387,382.50 × 387,382.50
  4. Step 4: Simplify right side
    255,906x = 150,065,201,306.25
  5. Step 5: Solve for x
    x = 150,065,201,306.25/255,906
  6. Step 6: Final answer
    x = 586,407.51

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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.