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Finding the Third Proportional to 237,201 and 369,409.50

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Solution

The third proportional to 237,201 and 369,409.50 is: 575,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,201 : 369,409.50 = 369,409.50 : x
  2. Step 2: Convert to fraction form
    237,201/369,409.50 = 369,409.50/x
  3. Step 3: Cross multiply
    237,201x = 369,409.50 × 369,409.50
  4. Step 4: Simplify right side
    237,201x = 136,463,378,690.25
  5. Step 5: Solve for x
    x = 136,463,378,690.25/237,201
  6. Step 6: Final answer
    x = 575,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.