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Finding the Third Proportional to 152,730 and 319,369.50

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Solution

The third proportional to 152,730 and 319,369.50 is: 667,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730 : 319,369.50 = 319,369.50 : x
  2. Step 2: Convert to fraction form
    152,730/319,369.50 = 319,369.50/x
  3. Step 3: Cross multiply
    152,730x = 319,369.50 × 319,369.50
  4. Step 4: Simplify right side
    152,730x = 101,996,877,530.25
  5. Step 5: Solve for x
    x = 101,996,877,530.25/152,730
  6. Step 6: Final answer
    x = 667,824.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.