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Finding the Third Proportional to 152,953.50 and 328,056

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Solution

The third proportional to 152,953.50 and 328,056 is: 703,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.50 : 328,056 = 328,056 : x
  2. Step 2: Convert to fraction form
    152,953.50/328,056 = 328,056/x
  3. Step 3: Cross multiply
    152,953.50x = 328,056 × 328,056
  4. Step 4: Simplify right side
    152,953.50x = 107,620,739,136
  5. Step 5: Solve for x
    x = 107,620,739,136/152,953.50
  6. Step 6: Final answer
    x = 703,617.37

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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.