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Finding the Third Proportional to 169,119 and 222,430.50

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Solution

The third proportional to 169,119 and 222,430.50 is: 292,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,119 : 222,430.50 = 222,430.50 : x
  2. Step 2: Convert to fraction form
    169,119/222,430.50 = 222,430.50/x
  3. Step 3: Cross multiply
    169,119x = 222,430.50 × 222,430.50
  4. Step 4: Simplify right side
    169,119x = 49,475,327,330.25
  5. Step 5: Solve for x
    x = 49,475,327,330.25/169,119
  6. Step 6: Final answer
    x = 292,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.