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Finding the Third Proportional to 152,862.19 and 359,675.44

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Solution

The third proportional to 152,862.19 and 359,675.44 is: 846,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,862.19 : 359,675.44 = 359,675.44 : x
  2. Step 2: Convert to fraction form
    152,862.19/359,675.44 = 359,675.44/x
  3. Step 3: Cross multiply
    152,862.19x = 359,675.44 × 359,675.44
  4. Step 4: Simplify right side
    152,862.19x = 129,366,420,340.82
  5. Step 5: Solve for x
    x = 129,366,420,340.82/152,862.19
  6. Step 6: Final answer
    x = 846,294.45

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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.