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Finding the Third Proportional to 152,254 and 337,148

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Solution

The third proportional to 152,254 and 337,148 is: 746,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,254 : 337,148 = 337,148 : x
  2. Step 2: Convert to fraction form
    152,254/337,148 = 337,148/x
  3. Step 3: Cross multiply
    152,254x = 337,148 × 337,148
  4. Step 4: Simplify right side
    152,254x = 113,668,773,904
  5. Step 5: Solve for x
    x = 113,668,773,904/152,254
  6. Step 6: Final answer
    x = 746,573.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.