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Finding the Third Proportional to 175,160 and 385,312

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Solution

The third proportional to 175,160 and 385,312 is: 847,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,160 : 385,312 = 385,312 : x
  2. Step 2: Convert to fraction form
    175,160/385,312 = 385,312/x
  3. Step 3: Cross multiply
    175,160x = 385,312 × 385,312
  4. Step 4: Simplify right side
    175,160x = 148,465,337,344
  5. Step 5: Solve for x
    x = 148,465,337,344/175,160
  6. Step 6: Final answer
    x = 847,598.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.