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Finding the Third Proportional to 77,232 and 169,224

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Solution

The third proportional to 77,232 and 169,224 is: 370,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,232 : 169,224 = 169,224 : x
  2. Step 2: Convert to fraction form
    77,232/169,224 = 169,224/x
  3. Step 3: Cross multiply
    77,232x = 169,224 × 169,224
  4. Step 4: Simplify right side
    77,232x = 28,636,762,176
  5. Step 5: Solve for x
    x = 28,636,762,176/77,232
  6. Step 6: Final answer
    x = 370,788.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.