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Finding the Third Proportional to 255,262 and 365,370

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Solution

The third proportional to 255,262 and 365,370 is: 522,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,262 : 365,370 = 365,370 : x
  2. Step 2: Convert to fraction form
    255,262/365,370 = 365,370/x
  3. Step 3: Cross multiply
    255,262x = 365,370 × 365,370
  4. Step 4: Simplify right side
    255,262x = 133,495,236,900
  5. Step 5: Solve for x
    x = 133,495,236,900/255,262
  6. Step 6: Final answer
    x = 522,973.40

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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.