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Finding the Third Proportional to 248,665 and 375,065.50

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Solution

The third proportional to 248,665 and 375,065.50 is: 565,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,665 : 375,065.50 = 375,065.50 : x
  2. Step 2: Convert to fraction form
    248,665/375,065.50 = 375,065.50/x
  3. Step 3: Cross multiply
    248,665x = 375,065.50 × 375,065.50
  4. Step 4: Simplify right side
    248,665x = 140,674,129,290.25
  5. Step 5: Solve for x
    x = 140,674,129,290.25/248,665
  6. Step 6: Final answer
    x = 565,717.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.