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Finding the Third Proportional to 232,875 and 312,963.75

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Solution

The third proportional to 232,875 and 312,963.75 is: 420,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,875 : 312,963.75 = 312,963.75 : x
  2. Step 2: Convert to fraction form
    232,875/312,963.75 = 312,963.75/x
  3. Step 3: Cross multiply
    232,875x = 312,963.75 × 312,963.75
  4. Step 4: Simplify right side
    232,875x = 97,946,308,814.06
  5. Step 5: Solve for x
    x = 97,946,308,814.06/232,875
  6. Step 6: Final answer
    x = 420,596.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.