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Finding the Third Proportional to 152,886 and 359,731.50

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Solution

The third proportional to 152,886 and 359,731.50 is: 846,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886 : 359,731.50 = 359,731.50 : x
  2. Step 2: Convert to fraction form
    152,886/359,731.50 = 359,731.50/x
  3. Step 3: Cross multiply
    152,886x = 359,731.50 × 359,731.50
  4. Step 4: Simplify right side
    152,886x = 129,406,752,092.25
  5. Step 5: Solve for x
    x = 129,406,752,092.25/152,886
  6. Step 6: Final answer
    x = 846,426.44

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