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Finding the Third Proportional to 186,848 and 290,117.25

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Solution

The third proportional to 186,848 and 290,117.25 is: 450,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,848 : 290,117.25 = 290,117.25 : x
  2. Step 2: Convert to fraction form
    186,848/290,117.25 = 290,117.25/x
  3. Step 3: Cross multiply
    186,848x = 290,117.25 × 290,117.25
  4. Step 4: Simplify right side
    186,848x = 84,168,018,747.56
  5. Step 5: Solve for x
    x = 84,168,018,747.56/186,848
  6. Step 6: Final answer
    x = 450,462.51

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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.