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Finding the Third Proportional to 140,153.63 and 329,032.13

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Solution

The third proportional to 140,153.63 and 329,032.13 is: 772,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,153.63 : 329,032.13 = 329,032.13 : x
  2. Step 2: Convert to fraction form
    140,153.63/329,032.13 = 329,032.13/x
  3. Step 3: Cross multiply
    140,153.63x = 329,032.13 × 329,032.13
  4. Step 4: Simplify right side
    140,153.63x = 108,262,139,282.02
  5. Step 5: Solve for x
    x = 108,262,139,282.02/140,153.63
  6. Step 6: Final answer
    x = 772,453.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.