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Finding the Third Proportional to 369,154 and 808,196

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Solution

The third proportional to 369,154 and 808,196 is: 1,769,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,154 : 808,196 = 808,196 : x
  2. Step 2: Convert to fraction form
    369,154/808,196 = 808,196/x
  3. Step 3: Cross multiply
    369,154x = 808,196 × 808,196
  4. Step 4: Simplify right side
    369,154x = 653,180,774,416
  5. Step 5: Solve for x
    x = 653,180,774,416/369,154
  6. Step 6: Final answer
    x = 1,769,399.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.