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Finding the Third Proportional to 230,556 and 360,886.50

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Solution

The third proportional to 230,556 and 360,886.50 is: 564,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,556 : 360,886.50 = 360,886.50 : x
  2. Step 2: Convert to fraction form
    230,556/360,886.50 = 360,886.50/x
  3. Step 3: Cross multiply
    230,556x = 360,886.50 × 360,886.50
  4. Step 4: Simplify right side
    230,556x = 130,239,065,882.25
  5. Step 5: Solve for x
    x = 130,239,065,882.25/230,556
  6. Step 6: Final answer
    x = 564,891.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.