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Finding the Third Proportional to 188,534 and 390,192

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Solution

The third proportional to 188,534 and 390,192 is: 807,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,534 : 390,192 = 390,192 : x
  2. Step 2: Convert to fraction form
    188,534/390,192 = 390,192/x
  3. Step 3: Cross multiply
    188,534x = 390,192 × 390,192
  4. Step 4: Simplify right side
    188,534x = 152,249,796,864
  5. Step 5: Solve for x
    x = 152,249,796,864/188,534
  6. Step 6: Final answer
    x = 807,545.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.