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Finding the Third Proportional to 182,709 and 328,966.50

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Solution

The third proportional to 182,709 and 328,966.50 is: 592,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,709 : 328,966.50 = 328,966.50 : x
  2. Step 2: Convert to fraction form
    182,709/328,966.50 = 328,966.50/x
  3. Step 3: Cross multiply
    182,709x = 328,966.50 × 328,966.50
  4. Step 4: Simplify right side
    182,709x = 108,218,958,122.25
  5. Step 5: Solve for x
    x = 108,218,958,122.25/182,709
  6. Step 6: Final answer
    x = 592,302.28

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.