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Finding the Third Proportional to 170,034.61 and 371,153.81

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Solution

The third proportional to 170,034.61 and 371,153.81 is: 810,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,034.61 : 371,153.81 = 371,153.81 : x
  2. Step 2: Convert to fraction form
    170,034.61/371,153.81 = 371,153.81/x
  3. Step 3: Cross multiply
    170,034.61x = 371,153.81 × 371,153.81
  4. Step 4: Simplify right side
    170,034.61x = 137,755,152,533.29
  5. Step 5: Solve for x
    x = 137,755,152,533.29/170,034.61
  6. Step 6: Final answer
    x = 810,159.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.