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Finding the Third Proportional to 243,669 and 375,015

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Solution

The third proportional to 243,669 and 375,015 is: 577,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,669 : 375,015 = 375,015 : x
  2. Step 2: Convert to fraction form
    243,669/375,015 = 375,015/x
  3. Step 3: Cross multiply
    243,669x = 375,015 × 375,015
  4. Step 4: Simplify right side
    243,669x = 140,636,250,225
  5. Step 5: Solve for x
    x = 140,636,250,225/243,669
  6. Step 6: Final answer
    x = 577,161.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.