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Finding the Third Proportional to 153,307.69 and 232,730.72

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Solution

The third proportional to 153,307.69 and 232,730.72 is: 353,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,307.69 : 232,730.72 = 232,730.72 : x
  2. Step 2: Convert to fraction form
    153,307.69/232,730.72 = 232,730.72/x
  3. Step 3: Cross multiply
    153,307.69x = 232,730.72 × 232,730.72
  4. Step 4: Simplify right side
    153,307.69x = 54,163,587,449.89
  5. Step 5: Solve for x
    x = 54,163,587,449.89/153,307.69
  6. Step 6: Final answer
    x = 353,299.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.