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Finding the Third Proportional to 164,863 and 353,047

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Solution

The third proportional to 164,863 and 353,047 is: 756,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,863 : 353,047 = 353,047 : x
  2. Step 2: Convert to fraction form
    164,863/353,047 = 353,047/x
  3. Step 3: Cross multiply
    164,863x = 353,047 × 353,047
  4. Step 4: Simplify right side
    164,863x = 124,642,184,209
  5. Step 5: Solve for x
    x = 124,642,184,209/164,863
  6. Step 6: Final answer
    x = 756,034.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.