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Finding the Third Proportional to 141,712 and 308,336

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Solution

The third proportional to 141,712 and 308,336 is: 670,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,712 : 308,336 = 308,336 : x
  2. Step 2: Convert to fraction form
    141,712/308,336 = 308,336/x
  3. Step 3: Cross multiply
    141,712x = 308,336 × 308,336
  4. Step 4: Simplify right side
    141,712x = 95,071,088,896
  5. Step 5: Solve for x
    x = 95,071,088,896/141,712
  6. Step 6: Final answer
    x = 670,875.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.