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Finding the Third Proportional to 235,878 and 352,953

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Solution

The third proportional to 235,878 and 352,953 is: 528,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,878 : 352,953 = 352,953 : x
  2. Step 2: Convert to fraction form
    235,878/352,953 = 352,953/x
  3. Step 3: Cross multiply
    235,878x = 352,953 × 352,953
  4. Step 4: Simplify right side
    235,878x = 124,575,820,209
  5. Step 5: Solve for x
    x = 124,575,820,209/235,878
  6. Step 6: Final answer
    x = 528,136.66

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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.