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Finding the Third Proportional to 152,294 and 219,361

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Solution

The third proportional to 152,294 and 219,361 is: 315,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294 : 219,361 = 219,361 : x
  2. Step 2: Convert to fraction form
    152,294/219,361 = 219,361/x
  3. Step 3: Cross multiply
    152,294x = 219,361 × 219,361
  4. Step 4: Simplify right side
    152,294x = 48,119,248,321
  5. Step 5: Solve for x
    x = 48,119,248,321/152,294
  6. Step 6: Final answer
    x = 315,962.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.