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Finding the Third Proportional to 296,095.50 and 442,170

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Solution

The third proportional to 296,095.50 and 442,170 is: 660,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,095.50 : 442,170 = 442,170 : x
  2. Step 2: Convert to fraction form
    296,095.50/442,170 = 442,170/x
  3. Step 3: Cross multiply
    296,095.50x = 442,170 × 442,170
  4. Step 4: Simplify right side
    296,095.50x = 195,514,308,900
  5. Step 5: Solve for x
    x = 195,514,308,900/296,095.50
  6. Step 6: Final answer
    x = 660,308.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.