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Finding the Third Proportional to 147,857.63 and 209,215.13

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Solution

The third proportional to 147,857.63 and 209,215.13 is: 296,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,857.63 : 209,215.13 = 209,215.13 : x
  2. Step 2: Convert to fraction form
    147,857.63/209,215.13 = 209,215.13/x
  3. Step 3: Cross multiply
    147,857.63x = 209,215.13 × 209,215.13
  4. Step 4: Simplify right side
    147,857.63x = 43,770,968,528.77
  5. Step 5: Solve for x
    x = 43,770,968,528.77/147,857.63
  6. Step 6: Final answer
    x = 296,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.