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Finding the Third Proportional to 155,458.50 and 307,278

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Solution

The third proportional to 155,458.50 and 307,278 is: 607,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,458.50 : 307,278 = 307,278 : x
  2. Step 2: Convert to fraction form
    155,458.50/307,278 = 307,278/x
  3. Step 3: Cross multiply
    155,458.50x = 307,278 × 307,278
  4. Step 4: Simplify right side
    155,458.50x = 94,419,769,284
  5. Step 5: Solve for x
    x = 94,419,769,284/155,458.50
  6. Step 6: Final answer
    x = 607,363.18

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.