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Finding the Third Proportional to 158,364 and 329,835

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Solution

The third proportional to 158,364 and 329,835 is: 686,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,364 : 329,835 = 329,835 : x
  2. Step 2: Convert to fraction form
    158,364/329,835 = 329,835/x
  3. Step 3: Cross multiply
    158,364x = 329,835 × 329,835
  4. Step 4: Simplify right side
    158,364x = 108,791,127,225
  5. Step 5: Solve for x
    x = 108,791,127,225/158,364
  6. Step 6: Final answer
    x = 686,968.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.