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Finding the Third Proportional to 245,566.50 and 369,261

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Solution

The third proportional to 245,566.50 and 369,261 is: 555,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,566.50 : 369,261 = 369,261 : x
  2. Step 2: Convert to fraction form
    245,566.50/369,261 = 369,261/x
  3. Step 3: Cross multiply
    245,566.50x = 369,261 × 369,261
  4. Step 4: Simplify right side
    245,566.50x = 136,353,686,121
  5. Step 5: Solve for x
    x = 136,353,686,121/245,566.50
  6. Step 6: Final answer
    x = 555,261.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.