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Finding the Third Proportional to 186,848.50 and 290,118

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Solution

The third proportional to 186,848.50 and 290,118 is: 450,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,848.50 : 290,118 = 290,118 : x
  2. Step 2: Convert to fraction form
    186,848.50/290,118 = 290,118/x
  3. Step 3: Cross multiply
    186,848.50x = 290,118 × 290,118
  4. Step 4: Simplify right side
    186,848.50x = 84,168,453,924
  5. Step 5: Solve for x
    x = 84,168,453,924/186,848.50
  6. Step 6: Final answer
    x = 450,463.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.