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Finding the Third Proportional to 152,389.69 and 237,310.59

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Solution

The third proportional to 152,389.69 and 237,310.59 is: 369,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,389.69 : 237,310.59 = 237,310.59 : x
  2. Step 2: Convert to fraction form
    152,389.69/237,310.59 = 237,310.59/x
  3. Step 3: Cross multiply
    152,389.69x = 237,310.59 × 237,310.59
  4. Step 4: Simplify right side
    152,389.69x = 56,316,317,905.98
  5. Step 5: Solve for x
    x = 56,316,317,905.98/152,389.69
  6. Step 6: Final answer
    x = 369,554.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.