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Finding the Third Proportional to 84,495 and 185,514

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Solution

The third proportional to 84,495 and 185,514 is: 407,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,495 : 185,514 = 185,514 : x
  2. Step 2: Convert to fraction form
    84,495/185,514 = 185,514/x
  3. Step 3: Cross multiply
    84,495x = 185,514 × 185,514
  4. Step 4: Simplify right side
    84,495x = 34,415,444,196
  5. Step 5: Solve for x
    x = 34,415,444,196/84,495
  6. Step 6: Final answer
    x = 407,307.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.