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Finding the Third Proportional to 255,636 and 375,570

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Solution

The third proportional to 255,636 and 375,570 is: 551,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,636 : 375,570 = 375,570 : x
  2. Step 2: Convert to fraction form
    255,636/375,570 = 375,570/x
  3. Step 3: Cross multiply
    255,636x = 375,570 × 375,570
  4. Step 4: Simplify right side
    255,636x = 141,052,824,900
  5. Step 5: Solve for x
    x = 141,052,824,900/255,636
  6. Step 6: Final answer
    x = 551,772.15

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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.