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Finding the Third Proportional to 142,492 and 304,760

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Solution

The third proportional to 142,492 and 304,760 is: 651,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492 : 304,760 = 304,760 : x
  2. Step 2: Convert to fraction form
    142,492/304,760 = 304,760/x
  3. Step 3: Cross multiply
    142,492x = 304,760 × 304,760
  4. Step 4: Simplify right side
    142,492x = 92,878,657,600
  5. Step 5: Solve for x
    x = 92,878,657,600/142,492
  6. Step 6: Final answer
    x = 651,816.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.