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Finding the Third Proportional to 152,970.93 and 326,960.77

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Solution

The third proportional to 152,970.93 and 326,960.77 is: 698,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,970.93 : 326,960.77 = 326,960.77 : x
  2. Step 2: Convert to fraction form
    152,970.93/326,960.77 = 326,960.77/x
  3. Step 3: Cross multiply
    152,970.93x = 326,960.77 × 326,960.77
  4. Step 4: Simplify right side
    152,970.93x = 106,903,346,089.66
  5. Step 5: Solve for x
    x = 106,903,346,089.66/152,970.93
  6. Step 6: Final answer
    x = 698,847.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.