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Finding the Third Proportional to 141,642 and 304,335

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Solution

The third proportional to 141,642 and 304,335 is: 653,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 304,335 = 304,335 : x
  2. Step 2: Convert to fraction form
    141,642/304,335 = 304,335/x
  3. Step 3: Cross multiply
    141,642x = 304,335 × 304,335
  4. Step 4: Simplify right side
    141,642x = 92,619,792,225
  5. Step 5: Solve for x
    x = 92,619,792,225/141,642
  6. Step 6: Final answer
    x = 653,900.62

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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.