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Finding the Third Proportional to 152,883 and 359,724

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Solution

The third proportional to 152,883 and 359,724 is: 846,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,883 : 359,724 = 359,724 : x
  2. Step 2: Convert to fraction form
    152,883/359,724 = 359,724/x
  3. Step 3: Cross multiply
    152,883x = 359,724 × 359,724
  4. Step 4: Simplify right side
    152,883x = 129,401,356,176
  5. Step 5: Solve for x
    x = 129,401,356,176/152,883
  6. Step 6: Final answer
    x = 846,407.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.