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Finding the Third Proportional to 188,534 and 390,196

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Solution

The third proportional to 188,534 and 390,196 is: 807,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,534 : 390,196 = 390,196 : x
  2. Step 2: Convert to fraction form
    188,534/390,196 = 390,196/x
  3. Step 3: Cross multiply
    188,534x = 390,196 × 390,196
  4. Step 4: Simplify right side
    188,534x = 152,252,918,416
  5. Step 5: Solve for x
    x = 152,252,918,416/188,534
  6. Step 6: Final answer
    x = 807,562.13

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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.