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Finding the Third Proportional to 123,347.63 and 265,728.38

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Solution

The third proportional to 123,347.63 and 265,728.38 is: 572,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,347.63 : 265,728.38 = 265,728.38 : x
  2. Step 2: Convert to fraction form
    123,347.63/265,728.38 = 265,728.38/x
  3. Step 3: Cross multiply
    123,347.63x = 265,728.38 × 265,728.38
  4. Step 4: Simplify right side
    123,347.63x = 70,611,569,280.14
  5. Step 5: Solve for x
    x = 70,611,569,280.14/123,347.63
  6. Step 6: Final answer
    x = 572,459.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.