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Finding the Third Proportional to 122,742 and 264,798

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Solution

The third proportional to 122,742 and 264,798 is: 571,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,742 : 264,798 = 264,798 : x
  2. Step 2: Convert to fraction form
    122,742/264,798 = 264,798/x
  3. Step 3: Cross multiply
    122,742x = 264,798 × 264,798
  4. Step 4: Simplify right side
    122,742x = 70,117,980,804
  5. Step 5: Solve for x
    x = 70,117,980,804/122,742
  6. Step 6: Final answer
    x = 571,263.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.