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Finding the Third Proportional to 157,828.50 and 382,087.13

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Solution

The third proportional to 157,828.50 and 382,087.13 is: 924,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,828.50 : 382,087.13 = 382,087.13 : x
  2. Step 2: Convert to fraction form
    157,828.50/382,087.13 = 382,087.13/x
  3. Step 3: Cross multiply
    157,828.50x = 382,087.13 × 382,087.13
  4. Step 4: Simplify right side
    157,828.50x = 145,990,571,090.77
  5. Step 5: Solve for x
    x = 145,990,571,090.77/157,828.50
  6. Step 6: Final answer
    x = 924,994.99

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.