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Finding the Third Proportional to 142,492 and 305,946

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Solution

The third proportional to 142,492 and 305,946 is: 656,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492 : 305,946 = 305,946 : x
  2. Step 2: Convert to fraction form
    142,492/305,946 = 305,946/x
  3. Step 3: Cross multiply
    142,492x = 305,946 × 305,946
  4. Step 4: Simplify right side
    142,492x = 93,602,954,916
  5. Step 5: Solve for x
    x = 93,602,954,916/142,492
  6. Step 6: Final answer
    x = 656,899.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.