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Finding the Third Proportional to 152,386.50 and 350,468.63

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Solution

The third proportional to 152,386.50 and 350,468.63 is: 806,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,386.50 : 350,468.63 = 350,468.63 : x
  2. Step 2: Convert to fraction form
    152,386.50/350,468.63 = 350,468.63/x
  3. Step 3: Cross multiply
    152,386.50x = 350,468.63 × 350,468.63
  4. Step 4: Simplify right side
    152,386.50x = 122,828,257,109.39
  5. Step 5: Solve for x
    x = 122,828,257,109.39/152,386.50
  6. Step 6: Final answer
    x = 806,031.09

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.