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Finding the Third Proportional to 123,030 and 265,464

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Solution

The third proportional to 123,030 and 265,464 is: 572,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,030 : 265,464 = 265,464 : x
  2. Step 2: Convert to fraction form
    123,030/265,464 = 265,464/x
  3. Step 3: Cross multiply
    123,030x = 265,464 × 265,464
  4. Step 4: Simplify right side
    123,030x = 70,471,135,296
  5. Step 5: Solve for x
    x = 70,471,135,296/123,030
  6. Step 6: Final answer
    x = 572,796.35

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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.