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Finding the Third Proportional to 152,254.69 and 223,765.03

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Solution

The third proportional to 152,254.69 and 223,765.03 is: 328,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,254.69 : 223,765.03 = 223,765.03 : x
  2. Step 2: Convert to fraction form
    152,254.69/223,765.03 = 223,765.03/x
  3. Step 3: Cross multiply
    152,254.69x = 223,765.03 × 223,765.03
  4. Step 4: Simplify right side
    152,254.69x = 50,070,789,210.31
  5. Step 5: Solve for x
    x = 50,070,789,210.31/152,254.69
  6. Step 6: Final answer
    x = 328,862.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.