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Finding the Third Proportional to 179,580 and 392,815.25

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Solution

The third proportional to 179,580 and 392,815.25 is: 859,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,580 : 392,815.25 = 392,815.25 : x
  2. Step 2: Convert to fraction form
    179,580/392,815.25 = 392,815.25/x
  3. Step 3: Cross multiply
    179,580x = 392,815.25 × 392,815.25
  4. Step 4: Simplify right side
    179,580x = 154,303,820,632.56
  5. Step 5: Solve for x
    x = 154,303,820,632.56/179,580
  6. Step 6: Final answer
    x = 859,248.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.