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Finding the Third Proportional to 117,020 and 260,323

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Solution

The third proportional to 117,020 and 260,323 is: 579,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,020 : 260,323 = 260,323 : x
  2. Step 2: Convert to fraction form
    117,020/260,323 = 260,323/x
  3. Step 3: Cross multiply
    117,020x = 260,323 × 260,323
  4. Step 4: Simplify right side
    117,020x = 67,768,064,329
  5. Step 5: Solve for x
    x = 67,768,064,329/117,020
  6. Step 6: Final answer
    x = 579,115.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.