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Finding the Third Proportional to 155,309 and 245,479

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Solution

The third proportional to 155,309 and 245,479 is: 388,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,309 : 245,479 = 245,479 : x
  2. Step 2: Convert to fraction form
    155,309/245,479 = 245,479/x
  3. Step 3: Cross multiply
    155,309x = 245,479 × 245,479
  4. Step 4: Simplify right side
    155,309x = 60,259,939,441
  5. Step 5: Solve for x
    x = 60,259,939,441/155,309
  6. Step 6: Final answer
    x = 388,000.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.