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Finding the Third Proportional to 159,070 and 343,047

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Solution

The third proportional to 159,070 and 343,047 is: 739,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,070 : 343,047 = 343,047 : x
  2. Step 2: Convert to fraction form
    159,070/343,047 = 343,047/x
  3. Step 3: Cross multiply
    159,070x = 343,047 × 343,047
  4. Step 4: Simplify right side
    159,070x = 117,681,244,209
  5. Step 5: Solve for x
    x = 117,681,244,209/159,070
  6. Step 6: Final answer
    x = 739,807.91

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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.