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Finding the Third Proportional to 145,234 and 319,106

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Solution

The third proportional to 145,234 and 319,106 is: 701,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,234 : 319,106 = 319,106 : x
  2. Step 2: Convert to fraction form
    145,234/319,106 = 319,106/x
  3. Step 3: Cross multiply
    145,234x = 319,106 × 319,106
  4. Step 4: Simplify right side
    145,234x = 101,828,639,236
  5. Step 5: Solve for x
    x = 101,828,639,236/145,234
  6. Step 6: Final answer
    x = 701,134.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.