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Finding the Third Proportional to 181,748 and 260,160

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Solution

The third proportional to 181,748 and 260,160 is: 372,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,748 : 260,160 = 260,160 : x
  2. Step 2: Convert to fraction form
    181,748/260,160 = 260,160/x
  3. Step 3: Cross multiply
    181,748x = 260,160 × 260,160
  4. Step 4: Simplify right side
    181,748x = 67,683,225,600
  5. Step 5: Solve for x
    x = 67,683,225,600/181,748
  6. Step 6: Final answer
    x = 372,401.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.