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Finding the Third Proportional to 255,157 and 375,354

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Solution

The third proportional to 255,157 and 375,354 is: 552,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,157 : 375,354 = 375,354 : x
  2. Step 2: Convert to fraction form
    255,157/375,354 = 375,354/x
  3. Step 3: Cross multiply
    255,157x = 375,354 × 375,354
  4. Step 4: Simplify right side
    255,157x = 140,890,625,316
  5. Step 5: Solve for x
    x = 140,890,625,316/255,157
  6. Step 6: Final answer
    x = 552,172.29

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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.