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Finding the Third Proportional to 152,020 and 323,726

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Solution

The third proportional to 152,020 and 323,726 is: 689,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,020 : 323,726 = 323,726 : x
  2. Step 2: Convert to fraction form
    152,020/323,726 = 323,726/x
  3. Step 3: Cross multiply
    152,020x = 323,726 × 323,726
  4. Step 4: Simplify right side
    152,020x = 104,798,523,076
  5. Step 5: Solve for x
    x = 104,798,523,076/152,020
  6. Step 6: Final answer
    x = 689,373.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.