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Finding the Third Proportional to 292,237.50 and 439,213.50

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Solution

The third proportional to 292,237.50 and 439,213.50 is: 660,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,237.50 : 439,213.50 = 439,213.50 : x
  2. Step 2: Convert to fraction form
    292,237.50/439,213.50 = 439,213.50/x
  3. Step 3: Cross multiply
    292,237.50x = 439,213.50 × 439,213.50
  4. Step 4: Simplify right side
    292,237.50x = 192,908,498,582.25
  5. Step 5: Solve for x
    x = 192,908,498,582.25/292,237.50
  6. Step 6: Final answer
    x = 660,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.