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Finding the Third Proportional to 155,113.50 and 248,866.50

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Solution

The third proportional to 155,113.50 and 248,866.50 is: 399,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,113.50 : 248,866.50 = 248,866.50 : x
  2. Step 2: Convert to fraction form
    155,113.50/248,866.50 = 248,866.50/x
  3. Step 3: Cross multiply
    155,113.50x = 248,866.50 × 248,866.50
  4. Step 4: Simplify right side
    155,113.50x = 61,934,534,822.25
  5. Step 5: Solve for x
    x = 61,934,534,822.25/155,113.50
  6. Step 6: Final answer
    x = 399,285.26

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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.