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Finding the Third Proportional to 176,920 and 260,160

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Solution

The third proportional to 176,920 and 260,160 is: 382,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,920 : 260,160 = 260,160 : x
  2. Step 2: Convert to fraction form
    176,920/260,160 = 260,160/x
  3. Step 3: Cross multiply
    176,920x = 260,160 × 260,160
  4. Step 4: Simplify right side
    176,920x = 67,683,225,600
  5. Step 5: Solve for x
    x = 67,683,225,600/176,920
  6. Step 6: Final answer
    x = 382,564.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.