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Finding the Third Proportional to 119,388 and 186,349.50

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Solution

The third proportional to 119,388 and 186,349.50 is: 290,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,388 : 186,349.50 = 186,349.50 : x
  2. Step 2: Convert to fraction form
    119,388/186,349.50 = 186,349.50/x
  3. Step 3: Cross multiply
    119,388x = 186,349.50 × 186,349.50
  4. Step 4: Simplify right side
    119,388x = 34,726,136,150.25
  5. Step 5: Solve for x
    x = 34,726,136,150.25/119,388
  6. Step 6: Final answer
    x = 290,867.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.