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Finding the Third Proportional to 147,678.75 and 301,578.75

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Solution

The third proportional to 147,678.75 and 301,578.75 is: 615,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,678.75 : 301,578.75 = 301,578.75 : x
  2. Step 2: Convert to fraction form
    147,678.75/301,578.75 = 301,578.75/x
  3. Step 3: Cross multiply
    147,678.75x = 301,578.75 × 301,578.75
  4. Step 4: Simplify right side
    147,678.75x = 90,949,742,451.56
  5. Step 5: Solve for x
    x = 90,949,742,451.56/147,678.75
  6. Step 6: Final answer
    x = 615,862.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.