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Finding the Third Proportional to 172,110 and 247,886.50

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Solution

The third proportional to 172,110 and 247,886.50 is: 357,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,110 : 247,886.50 = 247,886.50 : x
  2. Step 2: Convert to fraction form
    172,110/247,886.50 = 247,886.50/x
  3. Step 3: Cross multiply
    172,110x = 247,886.50 × 247,886.50
  4. Step 4: Simplify right side
    172,110x = 61,447,716,882.25
  5. Step 5: Solve for x
    x = 61,447,716,882.25/172,110
  6. Step 6: Final answer
    x = 357,025.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.