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Finding the Third Proportional to 147,076 and 197,232

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Solution

The third proportional to 147,076 and 197,232 is: 264,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,076 : 197,232 = 197,232 : x
  2. Step 2: Convert to fraction form
    147,076/197,232 = 197,232/x
  3. Step 3: Cross multiply
    147,076x = 197,232 × 197,232
  4. Step 4: Simplify right side
    147,076x = 38,900,461,824
  5. Step 5: Solve for x
    x = 38,900,461,824/147,076
  6. Step 6: Final answer
    x = 264,492.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.