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Finding the Third Proportional to 158,356.27 and 329,817.45

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Solution

The third proportional to 158,356.27 and 329,817.45 is: 686,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,356.27 : 329,817.45 = 329,817.45 : x
  2. Step 2: Convert to fraction form
    158,356.27/329,817.45 = 329,817.45/x
  3. Step 3: Cross multiply
    158,356.27x = 329,817.45 × 329,817.45
  4. Step 4: Simplify right side
    158,356.27x = 108,779,547,232.46
  5. Step 5: Solve for x
    x = 108,779,547,232.46/158,356.27
  6. Step 6: Final answer
    x = 686,929.23

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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.