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Finding the Third Proportional to 153,424.31 and 328,171.88

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Solution

The third proportional to 153,424.31 and 328,171.88 is: 701,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424.31 : 328,171.88 = 328,171.88 : x
  2. Step 2: Convert to fraction form
    153,424.31/328,171.88 = 328,171.88/x
  3. Step 3: Cross multiply
    153,424.31x = 328,171.88 × 328,171.88
  4. Step 4: Simplify right side
    153,424.31x = 107,696,779,541.02
  5. Step 5: Solve for x
    x = 107,696,779,541.02/153,424.31
  6. Step 6: Final answer
    x = 701,953.80

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Why These Related Problems?

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