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Finding the Third Proportional to 118,174 and 259,316

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Solution

The third proportional to 118,174 and 259,316 is: 569,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,174 : 259,316 = 259,316 : x
  2. Step 2: Convert to fraction form
    118,174/259,316 = 259,316/x
  3. Step 3: Cross multiply
    118,174x = 259,316 × 259,316
  4. Step 4: Simplify right side
    118,174x = 67,244,787,856
  5. Step 5: Solve for x
    x = 67,244,787,856/118,174
  6. Step 6: Final answer
    x = 569,032.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.