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Finding the Third Proportional to 176,950 and 382,056.25

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Solution

The third proportional to 176,950 and 382,056.25 is: 824,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,950 : 382,056.25 = 382,056.25 : x
  2. Step 2: Convert to fraction form
    176,950/382,056.25 = 382,056.25/x
  3. Step 3: Cross multiply
    176,950x = 382,056.25 × 382,056.25
  4. Step 4: Simplify right side
    176,950x = 145,966,978,164.06
  5. Step 5: Solve for x
    x = 145,966,978,164.06/176,950
  6. Step 6: Final answer
    x = 824,905.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.