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Finding the Third Proportional to 255,258 and 365,364

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Solution

The third proportional to 255,258 and 365,364 is: 522,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,258 : 365,364 = 365,364 : x
  2. Step 2: Convert to fraction form
    255,258/365,364 = 365,364/x
  3. Step 3: Cross multiply
    255,258x = 365,364 × 365,364
  4. Step 4: Simplify right side
    255,258x = 133,490,852,496
  5. Step 5: Solve for x
    x = 133,490,852,496/255,258
  6. Step 6: Final answer
    x = 522,964.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.