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Finding the Third Proportional to 371,196 and 564,174

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Solution

The third proportional to 371,196 and 564,174 is: 857,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,196 : 564,174 = 564,174 : x
  2. Step 2: Convert to fraction form
    371,196/564,174 = 564,174/x
  3. Step 3: Cross multiply
    371,196x = 564,174 × 564,174
  4. Step 4: Simplify right side
    371,196x = 318,292,302,276
  5. Step 5: Solve for x
    x = 318,292,302,276/371,196
  6. Step 6: Final answer
    x = 857,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.