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Finding the Third Proportional to 123,430.50 and 265,592.25

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Solution

The third proportional to 123,430.50 and 265,592.25 is: 571,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,430.50 : 265,592.25 = 265,592.25 : x
  2. Step 2: Convert to fraction form
    123,430.50/265,592.25 = 265,592.25/x
  3. Step 3: Cross multiply
    123,430.50x = 265,592.25 × 265,592.25
  4. Step 4: Simplify right side
    123,430.50x = 70,539,243,260.06
  5. Step 5: Solve for x
    x = 70,539,243,260.06/123,430.50
  6. Step 6: Final answer
    x = 571,489.57

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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.