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Finding the Third Proportional to 172,040 and 253,000

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Solution

The third proportional to 172,040 and 253,000 is: 372,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,040 : 253,000 = 253,000 : x
  2. Step 2: Convert to fraction form
    172,040/253,000 = 253,000/x
  3. Step 3: Cross multiply
    172,040x = 253,000 × 253,000
  4. Step 4: Simplify right side
    172,040x = 64,009,000,000
  5. Step 5: Solve for x
    x = 64,009,000,000/172,040
  6. Step 6: Final answer
    x = 372,058.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.