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Finding the Third Proportional to 181,614 and 358,590

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Solution

The third proportional to 181,614 and 358,590 is: 708,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,614 : 358,590 = 358,590 : x
  2. Step 2: Convert to fraction form
    181,614/358,590 = 358,590/x
  3. Step 3: Cross multiply
    181,614x = 358,590 × 358,590
  4. Step 4: Simplify right side
    181,614x = 128,586,788,100
  5. Step 5: Solve for x
    x = 128,586,788,100/181,614
  6. Step 6: Final answer
    x = 708,022.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.