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Finding the Third Proportional to 142,889.06 and 314,933.06

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Solution

The third proportional to 142,889.06 and 314,933.06 is: 694,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,889.06 : 314,933.06 = 314,933.06 : x
  2. Step 2: Convert to fraction form
    142,889.06/314,933.06 = 314,933.06/x
  3. Step 3: Cross multiply
    142,889.06x = 314,933.06 × 314,933.06
  4. Step 4: Simplify right side
    142,889.06x = 99,182,833,855.63
  5. Step 5: Solve for x
    x = 99,182,833,855.63/142,889.06
  6. Step 6: Final answer
    x = 694,124.74

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Why These Related Problems?

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