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Finding the Third Proportional to 233,780 and 341,919

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Solution

The third proportional to 233,780 and 341,919 is: 500,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,780 : 341,919 = 341,919 : x
  2. Step 2: Convert to fraction form
    233,780/341,919 = 341,919/x
  3. Step 3: Cross multiply
    233,780x = 341,919 × 341,919
  4. Step 4: Simplify right side
    233,780x = 116,908,602,561
  5. Step 5: Solve for x
    x = 116,908,602,561/233,780
  6. Step 6: Final answer
    x = 500,079.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.