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Finding the Third Proportional to 155,416.50 and 228,006

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Solution

The third proportional to 155,416.50 and 228,006 is: 334,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,416.50 : 228,006 = 228,006 : x
  2. Step 2: Convert to fraction form
    155,416.50/228,006 = 228,006/x
  3. Step 3: Cross multiply
    155,416.50x = 228,006 × 228,006
  4. Step 4: Simplify right side
    155,416.50x = 51,986,736,036
  5. Step 5: Solve for x
    x = 51,986,736,036/155,416.50
  6. Step 6: Final answer
    x = 334,499.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.