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Finding the Third Proportional to 114,358 and 163,383

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Solution

The third proportional to 114,358 and 163,383 is: 233,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,358 : 163,383 = 163,383 : x
  2. Step 2: Convert to fraction form
    114,358/163,383 = 163,383/x
  3. Step 3: Cross multiply
    114,358x = 163,383 × 163,383
  4. Step 4: Simplify right side
    114,358x = 26,694,004,689
  5. Step 5: Solve for x
    x = 26,694,004,689/114,358
  6. Step 6: Final answer
    x = 233,424.90

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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.