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Finding the Third Proportional to 170,526 and 267,514.50

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Solution

The third proportional to 170,526 and 267,514.50 is: 419,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,526 : 267,514.50 = 267,514.50 : x
  2. Step 2: Convert to fraction form
    170,526/267,514.50 = 267,514.50/x
  3. Step 3: Cross multiply
    170,526x = 267,514.50 × 267,514.50
  4. Step 4: Simplify right side
    170,526x = 71,564,007,710.25
  5. Step 5: Solve for x
    x = 71,564,007,710.25/170,526
  6. Step 6: Final answer
    x = 419,666.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.