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Finding the Third Proportional to 235,830 and 362,416.50

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Solution

The third proportional to 235,830 and 362,416.50 is: 556,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,830 : 362,416.50 = 362,416.50 : x
  2. Step 2: Convert to fraction form
    235,830/362,416.50 = 362,416.50/x
  3. Step 3: Cross multiply
    235,830x = 362,416.50 × 362,416.50
  4. Step 4: Simplify right side
    235,830x = 131,345,719,472.25
  5. Step 5: Solve for x
    x = 131,345,719,472.25/235,830
  6. Step 6: Final answer
    x = 556,950.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.