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Finding the Third Proportional to 235,209 and 353,343

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Solution

The third proportional to 235,209 and 353,343 is: 530,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,209 : 353,343 = 353,343 : x
  2. Step 2: Convert to fraction form
    235,209/353,343 = 353,343/x
  3. Step 3: Cross multiply
    235,209x = 353,343 × 353,343
  4. Step 4: Simplify right side
    235,209x = 124,851,275,649
  5. Step 5: Solve for x
    x = 124,851,275,649/235,209
  6. Step 6: Final answer
    x = 530,809.94

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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.