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Finding the Third Proportional to 152,296.88 and 330,017.63

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Solution

The third proportional to 152,296.88 and 330,017.63 is: 715,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,296.88 : 330,017.63 = 330,017.63 : x
  2. Step 2: Convert to fraction form
    152,296.88/330,017.63 = 330,017.63/x
  3. Step 3: Cross multiply
    152,296.88x = 330,017.63 × 330,017.63
  4. Step 4: Simplify right side
    152,296.88x = 108,911,632,810.64
  5. Step 5: Solve for x
    x = 108,911,632,810.64/152,296.88
  6. Step 6: Final answer
    x = 715,127.17

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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.