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Finding the Third Proportional to 145,223 and 233,957

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Solution

The third proportional to 145,223 and 233,957 is: 376,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223 : 233,957 = 233,957 : x
  2. Step 2: Convert to fraction form
    145,223/233,957 = 233,957/x
  3. Step 3: Cross multiply
    145,223x = 233,957 × 233,957
  4. Step 4: Simplify right side
    145,223x = 54,735,877,849
  5. Step 5: Solve for x
    x = 54,735,877,849/145,223
  6. Step 6: Final answer
    x = 376,909.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.