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Finding the Third Proportional to 172,256.63 and 258,565.50

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Solution

The third proportional to 172,256.63 and 258,565.50 is: 388,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,256.63 : 258,565.50 = 258,565.50 : x
  2. Step 2: Convert to fraction form
    172,256.63/258,565.50 = 258,565.50/x
  3. Step 3: Cross multiply
    172,256.63x = 258,565.50 × 258,565.50
  4. Step 4: Simplify right side
    172,256.63x = 66,856,117,790.25
  5. Step 5: Solve for x
    x = 66,856,117,790.25/172,256.63
  6. Step 6: Final answer
    x = 388,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.