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Finding the Third Proportional to 153,425.50 and 328,174

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Solution

The third proportional to 153,425.50 and 328,174 is: 701,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,425.50 : 328,174 = 328,174 : x
  2. Step 2: Convert to fraction form
    153,425.50/328,174 = 328,174/x
  3. Step 3: Cross multiply
    153,425.50x = 328,174 × 328,174
  4. Step 4: Simplify right side
    153,425.50x = 107,698,174,276
  5. Step 5: Solve for x
    x = 107,698,174,276/153,425.50
  6. Step 6: Final answer
    x = 701,957.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.