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Finding the Third Proportional to 153,612 and 319,492

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Solution

The third proportional to 153,612 and 319,492 is: 664,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 319,492 = 319,492 : x
  2. Step 2: Convert to fraction form
    153,612/319,492 = 319,492/x
  3. Step 3: Cross multiply
    153,612x = 319,492 × 319,492
  4. Step 4: Simplify right side
    153,612x = 102,075,138,064
  5. Step 5: Solve for x
    x = 102,075,138,064/153,612
  6. Step 6: Final answer
    x = 664,499.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.