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Finding the Third Proportional to 303,226.50 and 358,585.50

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Solution

The third proportional to 303,226.50 and 358,585.50 is: 424,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,226.50 : 358,585.50 = 358,585.50 : x
  2. Step 2: Convert to fraction form
    303,226.50/358,585.50 = 358,585.50/x
  3. Step 3: Cross multiply
    303,226.50x = 358,585.50 × 358,585.50
  4. Step 4: Simplify right side
    303,226.50x = 128,583,560,810.25
  5. Step 5: Solve for x
    x = 128,583,560,810.25/303,226.50
  6. Step 6: Final answer
    x = 424,051.20

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.