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Finding the Third Proportional to 181,592 and 358,534

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Solution

The third proportional to 181,592 and 358,534 is: 707,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,592 : 358,534 = 358,534 : x
  2. Step 2: Convert to fraction form
    181,592/358,534 = 358,534/x
  3. Step 3: Cross multiply
    181,592x = 358,534 × 358,534
  4. Step 4: Simplify right side
    181,592x = 128,546,629,156
  5. Step 5: Solve for x
    x = 128,546,629,156/181,592
  6. Step 6: Final answer
    x = 707,887.07

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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.