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Finding the Third Proportional to 173,748 and 380,712

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Solution

The third proportional to 173,748 and 380,712 is: 834,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,748 : 380,712 = 380,712 : x
  2. Step 2: Convert to fraction form
    173,748/380,712 = 380,712/x
  3. Step 3: Cross multiply
    173,748x = 380,712 × 380,712
  4. Step 4: Simplify right side
    173,748x = 144,941,626,944
  5. Step 5: Solve for x
    x = 144,941,626,944/173,748
  6. Step 6: Final answer
    x = 834,206.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.