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Finding the Third Proportional to 171,076 and 250,113.50

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Solution

The third proportional to 171,076 and 250,113.50 is: 365,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076 : 250,113.50 = 250,113.50 : x
  2. Step 2: Convert to fraction form
    171,076/250,113.50 = 250,113.50/x
  3. Step 3: Cross multiply
    171,076x = 250,113.50 × 250,113.50
  4. Step 4: Simplify right side
    171,076x = 62,556,762,882.25
  5. Step 5: Solve for x
    x = 62,556,762,882.25/171,076
  6. Step 6: Final answer
    x = 365,666.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.