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Finding the Third Proportional to 202,419.95 and 432,862.73

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Solution

The third proportional to 202,419.95 and 432,862.73 is: 925,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419.95 : 432,862.73 = 432,862.73 : x
  2. Step 2: Convert to fraction form
    202,419.95/432,862.73 = 432,862.73/x
  3. Step 3: Cross multiply
    202,419.95x = 432,862.73 × 432,862.73
  4. Step 4: Simplify right side
    202,419.95x = 187,370,146,810.60
  5. Step 5: Solve for x
    x = 187,370,146,810.60/202,419.95
  6. Step 6: Final answer
    x = 925,650.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.