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Finding the Third Proportional to 142,884 and 314,922.38

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Solution

The third proportional to 142,884 and 314,922.38 is: 694,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 314,922.38 = 314,922.38 : x
  2. Step 2: Convert to fraction form
    142,884/314,922.38 = 314,922.38/x
  3. Step 3: Cross multiply
    142,884x = 314,922.38 × 314,922.38
  4. Step 4: Simplify right side
    142,884x = 99,176,102,275.64
  5. Step 5: Solve for x
    x = 99,176,102,275.64/142,884
  6. Step 6: Final answer
    x = 694,102.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.