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Finding the Third Proportional to 136,388 and 294,952

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Solution

The third proportional to 136,388 and 294,952 is: 637,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,388 : 294,952 = 294,952 : x
  2. Step 2: Convert to fraction form
    136,388/294,952 = 294,952/x
  3. Step 3: Cross multiply
    136,388x = 294,952 × 294,952
  4. Step 4: Simplify right side
    136,388x = 86,996,682,304
  5. Step 5: Solve for x
    x = 86,996,682,304/136,388
  6. Step 6: Final answer
    x = 637,861.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.