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Finding the Third Proportional to 176,152.50 and 385,971

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Solution

The third proportional to 176,152.50 and 385,971 is: 845,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,152.50 : 385,971 = 385,971 : x
  2. Step 2: Convert to fraction form
    176,152.50/385,971 = 385,971/x
  3. Step 3: Cross multiply
    176,152.50x = 385,971 × 385,971
  4. Step 4: Simplify right side
    176,152.50x = 148,973,612,841
  5. Step 5: Solve for x
    x = 148,973,612,841/176,152.50
  6. Step 6: Final answer
    x = 845,708.20

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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.