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Finding the Third Proportional to 255,163 and 375,362

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Solution

The third proportional to 255,163 and 375,362 is: 552,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,163 : 375,362 = 375,362 : x
  2. Step 2: Convert to fraction form
    255,163/375,362 = 375,362/x
  3. Step 3: Cross multiply
    255,163x = 375,362 × 375,362
  4. Step 4: Simplify right side
    255,163x = 140,896,631,044
  5. Step 5: Solve for x
    x = 140,896,631,044/255,163
  6. Step 6: Final answer
    x = 552,182.84

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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.