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Finding the Third Proportional to 197,545.50 and 282,303.56

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Solution

The third proportional to 197,545.50 and 282,303.56 is: 403,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,545.50 : 282,303.56 = 282,303.56 : x
  2. Step 2: Convert to fraction form
    197,545.50/282,303.56 = 282,303.56/x
  3. Step 3: Cross multiply
    197,545.50x = 282,303.56 × 282,303.56
  4. Step 4: Simplify right side
    197,545.50x = 79,695,301,400.19
  5. Step 5: Solve for x
    x = 79,695,301,400.19/197,545.50
  6. Step 6: Final answer
    x = 403,427.57

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Why These Related Problems?

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