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Finding the Third Proportional to 160,924 and 240,306

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Solution

The third proportional to 160,924 and 240,306 is: 358,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,924 : 240,306 = 240,306 : x
  2. Step 2: Convert to fraction form
    160,924/240,306 = 240,306/x
  3. Step 3: Cross multiply
    160,924x = 240,306 × 240,306
  4. Step 4: Simplify right side
    160,924x = 57,746,973,636
  5. Step 5: Solve for x
    x = 57,746,973,636/160,924
  6. Step 6: Final answer
    x = 358,846.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.