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Finding the Third Proportional to 181,588 and 358,526

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Solution

The third proportional to 181,588 and 358,526 is: 707,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,588 : 358,526 = 358,526 : x
  2. Step 2: Convert to fraction form
    181,588/358,526 = 358,526/x
  3. Step 3: Cross multiply
    181,588x = 358,526 × 358,526
  4. Step 4: Simplify right side
    181,588x = 128,540,892,676
  5. Step 5: Solve for x
    x = 128,540,892,676/181,588
  6. Step 6: Final answer
    x = 707,871.07

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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.