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Finding the Third Proportional to 238,307.50 and 349,442

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Solution

The third proportional to 238,307.50 and 349,442 is: 512,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,307.50 : 349,442 = 349,442 : x
  2. Step 2: Convert to fraction form
    238,307.50/349,442 = 349,442/x
  3. Step 3: Cross multiply
    238,307.50x = 349,442 × 349,442
  4. Step 4: Simplify right side
    238,307.50x = 122,109,711,364
  5. Step 5: Solve for x
    x = 122,109,711,364/238,307.50
  6. Step 6: Final answer
    x = 512,403.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.