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Finding the Third Proportional to 155,445 and 324,964.50

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Solution

The third proportional to 155,445 and 324,964.50 is: 679,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,445 : 324,964.50 = 324,964.50 : x
  2. Step 2: Convert to fraction form
    155,445/324,964.50 = 324,964.50/x
  3. Step 3: Cross multiply
    155,445x = 324,964.50 × 324,964.50
  4. Step 4: Simplify right side
    155,445x = 105,601,926,260.25
  5. Step 5: Solve for x
    x = 105,601,926,260.25/155,445
  6. Step 6: Final answer
    x = 679,352.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.