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Finding the Third Proportional to 153,955.50 and 230,319

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Solution

The third proportional to 153,955.50 and 230,319 is: 344,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,955.50 : 230,319 = 230,319 : x
  2. Step 2: Convert to fraction form
    153,955.50/230,319 = 230,319/x
  3. Step 3: Cross multiply
    153,955.50x = 230,319 × 230,319
  4. Step 4: Simplify right side
    153,955.50x = 53,046,841,761
  5. Step 5: Solve for x
    x = 53,046,841,761/153,955.50
  6. Step 6: Final answer
    x = 344,559.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.