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Finding the Third Proportional to 188,522 and 410,362

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Solution

The third proportional to 188,522 and 410,362 is: 893,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,522 : 410,362 = 410,362 : x
  2. Step 2: Convert to fraction form
    188,522/410,362 = 410,362/x
  3. Step 3: Cross multiply
    188,522x = 410,362 × 410,362
  4. Step 4: Simplify right side
    188,522x = 168,396,971,044
  5. Step 5: Solve for x
    x = 168,396,971,044/188,522
  6. Step 6: Final answer
    x = 893,248.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.