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Finding the Third Proportional to 152,316 and 330,054

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Solution

The third proportional to 152,316 and 330,054 is: 715,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,316 : 330,054 = 330,054 : x
  2. Step 2: Convert to fraction form
    152,316/330,054 = 330,054/x
  3. Step 3: Cross multiply
    152,316x = 330,054 × 330,054
  4. Step 4: Simplify right side
    152,316x = 108,935,642,916
  5. Step 5: Solve for x
    x = 108,935,642,916/152,316
  6. Step 6: Final answer
    x = 715,195.01

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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.