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Finding the Third Proportional to 171,824.63 and 245,440.13

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Solution

The third proportional to 171,824.63 and 245,440.13 is: 350,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824.63 : 245,440.13 = 245,440.13 : x
  2. Step 2: Convert to fraction form
    171,824.63/245,440.13 = 245,440.13/x
  3. Step 3: Cross multiply
    171,824.63x = 245,440.13 × 245,440.13
  4. Step 4: Simplify right side
    171,824.63x = 60,240,854,960.02
  5. Step 5: Solve for x
    x = 60,240,854,960.02/171,824.63
  6. Step 6: Final answer
    x = 350,595.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.