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Finding the Third Proportional to 134,490 and 197,841

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Solution

The third proportional to 134,490 and 197,841 is: 291,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,490 : 197,841 = 197,841 : x
  2. Step 2: Convert to fraction form
    134,490/197,841 = 197,841/x
  3. Step 3: Cross multiply
    134,490x = 197,841 × 197,841
  4. Step 4: Simplify right side
    134,490x = 39,141,061,281
  5. Step 5: Solve for x
    x = 39,141,061,281/134,490
  6. Step 6: Final answer
    x = 291,033.25

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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.