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Finding the Third Proportional to 221,417.25 and 352,488.38

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Solution

The third proportional to 221,417.25 and 352,488.38 is: 561,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,417.25 : 352,488.38 = 352,488.38 : x
  2. Step 2: Convert to fraction form
    221,417.25/352,488.38 = 352,488.38/x
  3. Step 3: Cross multiply
    221,417.25x = 352,488.38 × 352,488.38
  4. Step 4: Simplify right side
    221,417.25x = 124,248,054,510.14
  5. Step 5: Solve for x
    x = 124,248,054,510.14/221,417.25
  6. Step 6: Final answer
    x = 561,148.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.