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Finding the Third Proportional to 116,946 and 246,117.38

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Solution

The third proportional to 116,946 and 246,117.38 is: 517,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,946 : 246,117.38 = 246,117.38 : x
  2. Step 2: Convert to fraction form
    116,946/246,117.38 = 246,117.38/x
  3. Step 3: Cross multiply
    116,946x = 246,117.38 × 246,117.38
  4. Step 4: Simplify right side
    116,946x = 60,573,762,276.89
  5. Step 5: Solve for x
    x = 60,573,762,276.89/116,946
  6. Step 6: Final answer
    x = 517,963.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.