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Finding the Third Proportional to 152,953.31 and 215,009.44

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Solution

The third proportional to 152,953.31 and 215,009.44 is: 302,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.31 : 215,009.44 = 215,009.44 : x
  2. Step 2: Convert to fraction form
    152,953.31/215,009.44 = 215,009.44/x
  3. Step 3: Cross multiply
    152,953.31x = 215,009.44 × 215,009.44
  4. Step 4: Simplify right side
    152,953.31x = 46,229,058,214.07
  5. Step 5: Solve for x
    x = 46,229,058,214.07/152,953.31
  6. Step 6: Final answer
    x = 302,242.94

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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.