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Finding the Third Proportional to 235,132 and 336,106.50

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Solution

The third proportional to 235,132 and 336,106.50 is: 480,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,132 : 336,106.50 = 336,106.50 : x
  2. Step 2: Convert to fraction form
    235,132/336,106.50 = 336,106.50/x
  3. Step 3: Cross multiply
    235,132x = 336,106.50 × 336,106.50
  4. Step 4: Simplify right side
    235,132x = 112,967,579,342.25
  5. Step 5: Solve for x
    x = 112,967,579,342.25/235,132
  6. Step 6: Final answer
    x = 480,443.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.