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Finding the Third Proportional to 357,160 and 552,534

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Solution

The third proportional to 357,160 and 552,534 is: 854,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,160 : 552,534 = 552,534 : x
  2. Step 2: Convert to fraction form
    357,160/552,534 = 552,534/x
  3. Step 3: Cross multiply
    357,160x = 552,534 × 552,534
  4. Step 4: Simplify right side
    357,160x = 305,293,821,156
  5. Step 5: Solve for x
    x = 305,293,821,156/357,160
  6. Step 6: Final answer
    x = 854,781.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.