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Finding the Third Proportional to 153,563.63 and 232,493.34

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Solution

The third proportional to 153,563.63 and 232,493.34 is: 351,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.63 : 232,493.34 = 232,493.34 : x
  2. Step 2: Convert to fraction form
    153,563.63/232,493.34 = 232,493.34/x
  3. Step 3: Cross multiply
    153,563.63x = 232,493.34 × 232,493.34
  4. Step 4: Simplify right side
    153,563.63x = 54,053,154,888.06
  5. Step 5: Solve for x
    x = 54,053,154,888.06/153,563.63
  6. Step 6: Final answer
    x = 351,991.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.