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Finding the Third Proportional to 152,098 and 355,365

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Solution

The third proportional to 152,098 and 355,365 is: 830,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098 : 355,365 = 355,365 : x
  2. Step 2: Convert to fraction form
    152,098/355,365 = 355,365/x
  3. Step 3: Cross multiply
    152,098x = 355,365 × 355,365
  4. Step 4: Simplify right side
    152,098x = 126,284,283,225
  5. Step 5: Solve for x
    x = 126,284,283,225/152,098
  6. Step 6: Final answer
    x = 830,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.