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Finding the Third Proportional to 123,656.63 and 264,809.25

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Solution

The third proportional to 123,656.63 and 264,809.25 is: 567,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,656.63 : 264,809.25 = 264,809.25 : x
  2. Step 2: Convert to fraction form
    123,656.63/264,809.25 = 264,809.25/x
  3. Step 3: Cross multiply
    123,656.63x = 264,809.25 × 264,809.25
  4. Step 4: Simplify right side
    123,656.63x = 70,123,938,885.56
  5. Step 5: Solve for x
    x = 70,123,938,885.56/123,656.63
  6. Step 6: Final answer
    x = 567,085.98

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