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Finding the Third Proportional to 152,222.63 and 344,287.13

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Solution

The third proportional to 152,222.63 and 344,287.13 is: 778,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,222.63 : 344,287.13 = 344,287.13 : x
  2. Step 2: Convert to fraction form
    152,222.63/344,287.13 = 344,287.13/x
  3. Step 3: Cross multiply
    152,222.63x = 344,287.13 × 344,287.13
  4. Step 4: Simplify right side
    152,222.63x = 118,533,624,440.77
  5. Step 5: Solve for x
    x = 118,533,624,440.77/152,222.63
  6. Step 6: Final answer
    x = 778,685.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.