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Finding the Third Proportional to 181,106 and 385,572

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Solution

The third proportional to 181,106 and 385,572 is: 820,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,106 : 385,572 = 385,572 : x
  2. Step 2: Convert to fraction form
    181,106/385,572 = 385,572/x
  3. Step 3: Cross multiply
    181,106x = 385,572 × 385,572
  4. Step 4: Simplify right side
    181,106x = 148,665,767,184
  5. Step 5: Solve for x
    x = 148,665,767,184/181,106
  6. Step 6: Final answer
    x = 820,877.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.