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Finding the Third Proportional to 235,047 and 342,724.50

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Solution

The third proportional to 235,047 and 342,724.50 is: 499,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,047 : 342,724.50 = 342,724.50 : x
  2. Step 2: Convert to fraction form
    235,047/342,724.50 = 342,724.50/x
  3. Step 3: Cross multiply
    235,047x = 342,724.50 × 342,724.50
  4. Step 4: Simplify right side
    235,047x = 117,460,082,900.25
  5. Step 5: Solve for x
    x = 117,460,082,900.25/235,047
  6. Step 6: Final answer
    x = 499,730.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.