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Finding the Third Proportional to 235,030.50 and 342,702

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Solution

The third proportional to 235,030.50 and 342,702 is: 499,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,030.50 : 342,702 = 342,702 : x
  2. Step 2: Convert to fraction form
    235,030.50/342,702 = 342,702/x
  3. Step 3: Cross multiply
    235,030.50x = 342,702 × 342,702
  4. Step 4: Simplify right side
    235,030.50x = 117,444,660,804
  5. Step 5: Solve for x
    x = 117,444,660,804/235,030.50
  6. Step 6: Final answer
    x = 499,699.66

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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.