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Finding the Third Proportional to 114,357 and 163,381.50

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Solution

The third proportional to 114,357 and 163,381.50 is: 233,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,357 : 163,381.50 = 163,381.50 : x
  2. Step 2: Convert to fraction form
    114,357/163,381.50 = 163,381.50/x
  3. Step 3: Cross multiply
    114,357x = 163,381.50 × 163,381.50
  4. Step 4: Simplify right side
    114,357x = 26,693,514,542.25
  5. Step 5: Solve for x
    x = 26,693,514,542.25/114,357
  6. Step 6: Final answer
    x = 233,422.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.