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Finding the Third Proportional to 253,999.55 and 348,302.53

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Solution

The third proportional to 253,999.55 and 348,302.53 is: 477,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,999.55 : 348,302.53 = 348,302.53 : x
  2. Step 2: Convert to fraction form
    253,999.55/348,302.53 = 348,302.53/x
  3. Step 3: Cross multiply
    253,999.55x = 348,302.53 × 348,302.53
  4. Step 4: Simplify right side
    253,999.55x = 121,314,653,275.16
  5. Step 5: Solve for x
    x = 121,314,653,275.16/253,999.55
  6. Step 6: Final answer
    x = 477,617.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.