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Finding the Third Proportional to 145,968 and 319,624

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Solution

The third proportional to 145,968 and 319,624 is: 699,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 319,624 = 319,624 : x
  2. Step 2: Convert to fraction form
    145,968/319,624 = 319,624/x
  3. Step 3: Cross multiply
    145,968x = 319,624 × 319,624
  4. Step 4: Simplify right side
    145,968x = 102,159,501,376
  5. Step 5: Solve for x
    x = 102,159,501,376/145,968
  6. Step 6: Final answer
    x = 699,876.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.