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Finding the Third Proportional to 142,488.84 and 222,359.91

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Solution

The third proportional to 142,488.84 and 222,359.91 is: 347,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488.84 : 222,359.91 = 222,359.91 : x
  2. Step 2: Convert to fraction form
    142,488.84/222,359.91 = 222,359.91/x
  3. Step 3: Cross multiply
    142,488.84x = 222,359.91 × 222,359.91
  4. Step 4: Simplify right side
    142,488.84x = 49,443,927,907.51
  5. Step 5: Solve for x
    x = 49,443,927,907.51/142,488.84
  6. Step 6: Final answer
    x = 347,002.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.