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Finding the Third Proportional to 115,312 and 250,308

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Solution

The third proportional to 115,312 and 250,308 is: 543,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,312 : 250,308 = 250,308 : x
  2. Step 2: Convert to fraction form
    115,312/250,308 = 250,308/x
  3. Step 3: Cross multiply
    115,312x = 250,308 × 250,308
  4. Step 4: Simplify right side
    115,312x = 62,654,094,864
  5. Step 5: Solve for x
    x = 62,654,094,864/115,312
  6. Step 6: Final answer
    x = 543,344.10

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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.