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Finding the Third Proportional to 265,128 and 401,550

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Solution

The third proportional to 265,128 and 401,550 is: 608,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,128 : 401,550 = 401,550 : x
  2. Step 2: Convert to fraction form
    265,128/401,550 = 401,550/x
  3. Step 3: Cross multiply
    265,128x = 401,550 × 401,550
  4. Step 4: Simplify right side
    265,128x = 161,242,402,500
  5. Step 5: Solve for x
    x = 161,242,402,500/265,128
  6. Step 6: Final answer
    x = 608,168.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.