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Finding the Third Proportional to 180,346 and 385,708

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Solution

The third proportional to 180,346 and 385,708 is: 824,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,346 : 385,708 = 385,708 : x
  2. Step 2: Convert to fraction form
    180,346/385,708 = 385,708/x
  3. Step 3: Cross multiply
    180,346x = 385,708 × 385,708
  4. Step 4: Simplify right side
    180,346x = 148,770,661,264
  5. Step 5: Solve for x
    x = 148,770,661,264/180,346
  6. Step 6: Final answer
    x = 824,918.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.