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Finding the Third Proportional to 152,300 and 351,014

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Solution

The third proportional to 152,300 and 351,014 is: 809,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300 : 351,014 = 351,014 : x
  2. Step 2: Convert to fraction form
    152,300/351,014 = 351,014/x
  3. Step 3: Cross multiply
    152,300x = 351,014 × 351,014
  4. Step 4: Simplify right side
    152,300x = 123,210,828,196
  5. Step 5: Solve for x
    x = 123,210,828,196/152,300
  6. Step 6: Final answer
    x = 809,000.84

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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.