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Finding the Third Proportional to 195,279 and 312,574.50

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Solution

The third proportional to 195,279 and 312,574.50 is: 500,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,279 : 312,574.50 = 312,574.50 : x
  2. Step 2: Convert to fraction form
    195,279/312,574.50 = 312,574.50/x
  3. Step 3: Cross multiply
    195,279x = 312,574.50 × 312,574.50
  4. Step 4: Simplify right side
    195,279x = 97,702,818,050.25
  5. Step 5: Solve for x
    x = 97,702,818,050.25/195,279
  6. Step 6: Final answer
    x = 500,324.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.