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Finding the Third Proportional to 144,834 and 230,358

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Solution

The third proportional to 144,834 and 230,358 is: 366,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,834 : 230,358 = 230,358 : x
  2. Step 2: Convert to fraction form
    144,834/230,358 = 230,358/x
  3. Step 3: Cross multiply
    144,834x = 230,358 × 230,358
  4. Step 4: Simplify right side
    144,834x = 53,064,808,164
  5. Step 5: Solve for x
    x = 53,064,808,164/144,834
  6. Step 6: Final answer
    x = 366,383.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.