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Finding the Third Proportional to 151,893 and 351,642.38

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Solution

The third proportional to 151,893 and 351,642.38 is: 814,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,893 : 351,642.38 = 351,642.38 : x
  2. Step 2: Convert to fraction form
    151,893/351,642.38 = 351,642.38/x
  3. Step 3: Cross multiply
    151,893x = 351,642.38 × 351,642.38
  4. Step 4: Simplify right side
    151,893x = 123,652,359,895.64
  5. Step 5: Solve for x
    x = 123,652,359,895.64/151,893
  6. Step 6: Final answer
    x = 814,075.43

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.