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Finding the Third Proportional to 147,470.63 and 314,244.56

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Solution

The third proportional to 147,470.63 and 314,244.56 is: 669,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,470.63 : 314,244.56 = 314,244.56 : x
  2. Step 2: Convert to fraction form
    147,470.63/314,244.56 = 314,244.56/x
  3. Step 3: Cross multiply
    147,470.63x = 314,244.56 × 314,244.56
  4. Step 4: Simplify right side
    147,470.63x = 98,749,645,060.82
  5. Step 5: Solve for x
    x = 98,749,645,060.82/147,470.63
  6. Step 6: Final answer
    x = 669,622.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.