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Finding the Third Proportional to 147,595.88 and 305,693.63

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Solution

The third proportional to 147,595.88 and 305,693.63 is: 633,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,595.88 : 305,693.63 = 305,693.63 : x
  2. Step 2: Convert to fraction form
    147,595.88/305,693.63 = 305,693.63/x
  3. Step 3: Cross multiply
    147,595.88x = 305,693.63 × 305,693.63
  4. Step 4: Simplify right side
    147,595.88x = 93,448,592,365.64
  5. Step 5: Solve for x
    x = 93,448,592,365.64/147,595.88
  6. Step 6: Final answer
    x = 633,138.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.