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Finding the Third Proportional to 230,482.50 and 361,560

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Solution

The third proportional to 230,482.50 and 361,560 is: 567,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,482.50 : 361,560 = 361,560 : x
  2. Step 2: Convert to fraction form
    230,482.50/361,560 = 361,560/x
  3. Step 3: Cross multiply
    230,482.50x = 361,560 × 361,560
  4. Step 4: Simplify right side
    230,482.50x = 130,725,633,600
  5. Step 5: Solve for x
    x = 130,725,633,600/230,482.50
  6. Step 6: Final answer
    x = 567,182.47

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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.