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Finding the Third Proportional to 140,061 and 307,335

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Solution

The third proportional to 140,061 and 307,335 is: 674,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,061 : 307,335 = 307,335 : x
  2. Step 2: Convert to fraction form
    140,061/307,335 = 307,335/x
  3. Step 3: Cross multiply
    140,061x = 307,335 × 307,335
  4. Step 4: Simplify right side
    140,061x = 94,454,802,225
  5. Step 5: Solve for x
    x = 94,454,802,225/140,061
  6. Step 6: Final answer
    x = 674,383.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.