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Finding the Third Proportional to 166,293.16 and 256,570.98

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Solution

The third proportional to 166,293.16 and 256,570.98 is: 395,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,293.16 : 256,570.98 = 256,570.98 : x
  2. Step 2: Convert to fraction form
    166,293.16/256,570.98 = 256,570.98/x
  3. Step 3: Cross multiply
    166,293.16x = 256,570.98 × 256,570.98
  4. Step 4: Simplify right side
    166,293.16x = 65,828,668,018.70
  5. Step 5: Solve for x
    x = 65,828,668,018.70/166,293.16
  6. Step 6: Final answer
    x = 395,859.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.