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Finding the Third Proportional to 252,572 and 540,166

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Solution

The third proportional to 252,572 and 540,166 is: 1,155,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,572 : 540,166 = 540,166 : x
  2. Step 2: Convert to fraction form
    252,572/540,166 = 540,166/x
  3. Step 3: Cross multiply
    252,572x = 540,166 × 540,166
  4. Step 4: Simplify right side
    252,572x = 291,779,307,556
  5. Step 5: Solve for x
    x = 291,779,307,556/252,572
  6. Step 6: Final answer
    x = 1,155,232.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.