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Finding the Third Proportional to 152,548 and 317,724

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Solution

The third proportional to 152,548 and 317,724 is: 661,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,548 : 317,724 = 317,724 : x
  2. Step 2: Convert to fraction form
    152,548/317,724 = 317,724/x
  3. Step 3: Cross multiply
    152,548x = 317,724 × 317,724
  4. Step 4: Simplify right side
    152,548x = 100,948,540,176
  5. Step 5: Solve for x
    x = 100,948,540,176/152,548
  6. Step 6: Final answer
    x = 661,749.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.