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Finding the Third Proportional to 175,064 and 257,082

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Solution

The third proportional to 175,064 and 257,082 is: 377,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 257,082 = 257,082 : x
  2. Step 2: Convert to fraction form
    175,064/257,082 = 257,082/x
  3. Step 3: Cross multiply
    175,064x = 257,082 × 257,082
  4. Step 4: Simplify right side
    175,064x = 66,091,154,724
  5. Step 5: Solve for x
    x = 66,091,154,724/175,064
  6. Step 6: Final answer
    x = 377,525.67

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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.