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Finding the Third Proportional to 341,492.50 and 501,167

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Solution

The third proportional to 341,492.50 and 501,167 is: 735,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,492.50 : 501,167 = 501,167 : x
  2. Step 2: Convert to fraction form
    341,492.50/501,167 = 501,167/x
  3. Step 3: Cross multiply
    341,492.50x = 501,167 × 501,167
  4. Step 4: Simplify right side
    341,492.50x = 251,168,361,889
  5. Step 5: Solve for x
    x = 251,168,361,889/341,492.50
  6. Step 6: Final answer
    x = 735,501.84

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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.