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Finding the Third Proportional to 160,062.75 and 342,946.13

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Solution

The third proportional to 160,062.75 and 342,946.13 is: 734,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,062.75 : 342,946.13 = 342,946.13 : x
  2. Step 2: Convert to fraction form
    160,062.75/342,946.13 = 342,946.13/x
  3. Step 3: Cross multiply
    160,062.75x = 342,946.13 × 342,946.13
  4. Step 4: Simplify right side
    160,062.75x = 117,612,044,652.52
  5. Step 5: Solve for x
    x = 117,612,044,652.52/160,062.75
  6. Step 6: Final answer
    x = 734,787.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.