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Finding the Third Proportional to 152,235 and 330,403.50

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Solution

The third proportional to 152,235 and 330,403.50 is: 717,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,235 : 330,403.50 = 330,403.50 : x
  2. Step 2: Convert to fraction form
    152,235/330,403.50 = 330,403.50/x
  3. Step 3: Cross multiply
    152,235x = 330,403.50 × 330,403.50
  4. Step 4: Simplify right side
    152,235x = 109,166,472,812.25
  5. Step 5: Solve for x
    x = 109,166,472,812.25/152,235
  6. Step 6: Final answer
    x = 717,091.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.