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Finding the Third Proportional to 198,312 and 302,113.50

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Solution

The third proportional to 198,312 and 302,113.50 is: 460,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312 : 302,113.50 = 302,113.50 : x
  2. Step 2: Convert to fraction form
    198,312/302,113.50 = 302,113.50/x
  3. Step 3: Cross multiply
    198,312x = 302,113.50 × 302,113.50
  4. Step 4: Simplify right side
    198,312x = 91,272,566,882.25
  5. Step 5: Solve for x
    x = 91,272,566,882.25/198,312
  6. Step 6: Final answer
    x = 460,247.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.