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Finding the Third Proportional to 248,164 and 538,316

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Solution

The third proportional to 248,164 and 538,316 is: 1,167,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,164 : 538,316 = 538,316 : x
  2. Step 2: Convert to fraction form
    248,164/538,316 = 538,316/x
  3. Step 3: Cross multiply
    248,164x = 538,316 × 538,316
  4. Step 4: Simplify right side
    248,164x = 289,784,115,856
  5. Step 5: Solve for x
    x = 289,784,115,856/248,164
  6. Step 6: Final answer
    x = 1,167,712.14

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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.