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Finding the Third Proportional to 159,068.81 and 343,045.13

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Solution

The third proportional to 159,068.81 and 343,045.13 is: 739,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,068.81 : 343,045.13 = 343,045.13 : x
  2. Step 2: Convert to fraction form
    159,068.81/343,045.13 = 343,045.13/x
  3. Step 3: Cross multiply
    159,068.81x = 343,045.13 × 343,045.13
  4. Step 4: Simplify right side
    159,068.81x = 117,679,957,786.27
  5. Step 5: Solve for x
    x = 117,679,957,786.27/159,068.81
  6. Step 6: Final answer
    x = 739,805.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.