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Finding the Third Proportional to 254,364 and 374,148

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Solution

The third proportional to 254,364 and 374,148 is: 550,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,364 : 374,148 = 374,148 : x
  2. Step 2: Convert to fraction form
    254,364/374,148 = 374,148/x
  3. Step 3: Cross multiply
    254,364x = 374,148 × 374,148
  4. Step 4: Simplify right side
    254,364x = 139,986,725,904
  5. Step 5: Solve for x
    x = 139,986,725,904/254,364
  6. Step 6: Final answer
    x = 550,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.