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Finding the Third Proportional to 182,472 and 290,569.50

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Solution

The third proportional to 182,472 and 290,569.50 is: 462,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,472 : 290,569.50 = 290,569.50 : x
  2. Step 2: Convert to fraction form
    182,472/290,569.50 = 290,569.50/x
  3. Step 3: Cross multiply
    182,472x = 290,569.50 × 290,569.50
  4. Step 4: Simplify right side
    182,472x = 84,430,634,330.25
  5. Step 5: Solve for x
    x = 84,430,634,330.25/182,472
  6. Step 6: Final answer
    x = 462,704.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.