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Finding the Third Proportional to 153,243 and 237,883

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Solution

The third proportional to 153,243 and 237,883 is: 369,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,243 : 237,883 = 237,883 : x
  2. Step 2: Convert to fraction form
    153,243/237,883 = 237,883/x
  3. Step 3: Cross multiply
    153,243x = 237,883 × 237,883
  4. Step 4: Simplify right side
    153,243x = 56,588,321,689
  5. Step 5: Solve for x
    x = 56,588,321,689/153,243
  6. Step 6: Final answer
    x = 369,271.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.