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Finding the Third Proportional to 245,409.75 and 535,167

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Solution

The third proportional to 245,409.75 and 535,167 is: 1,167,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,409.75 : 535,167 = 535,167 : x
  2. Step 2: Convert to fraction form
    245,409.75/535,167 = 535,167/x
  3. Step 3: Cross multiply
    245,409.75x = 535,167 × 535,167
  4. Step 4: Simplify right side
    245,409.75x = 286,403,717,889
  5. Step 5: Solve for x
    x = 286,403,717,889/245,409.75
  6. Step 6: Final answer
    x = 1,167,042.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.