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Finding the Third Proportional to 236,895 and 372,253.50

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Solution

The third proportional to 236,895 and 372,253.50 is: 584,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,895 : 372,253.50 = 372,253.50 : x
  2. Step 2: Convert to fraction form
    236,895/372,253.50 = 372,253.50/x
  3. Step 3: Cross multiply
    236,895x = 372,253.50 × 372,253.50
  4. Step 4: Simplify right side
    236,895x = 138,572,668,262.25
  5. Step 5: Solve for x
    x = 138,572,668,262.25/236,895
  6. Step 6: Final answer
    x = 584,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.