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Finding the Third Proportional to 106,701 and 233,490

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Solution

The third proportional to 106,701 and 233,490 is: 510,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701 : 233,490 = 233,490 : x
  2. Step 2: Convert to fraction form
    106,701/233,490 = 233,490/x
  3. Step 3: Cross multiply
    106,701x = 233,490 × 233,490
  4. Step 4: Simplify right side
    106,701x = 54,517,580,100
  5. Step 5: Solve for x
    x = 54,517,580,100/106,701
  6. Step 6: Final answer
    x = 510,937.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.