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Finding the Third Proportional to 158,307.50 and 341,873.50

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Solution

The third proportional to 158,307.50 and 341,873.50 is: 738,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,307.50 : 341,873.50 = 341,873.50 : x
  2. Step 2: Convert to fraction form
    158,307.50/341,873.50 = 341,873.50/x
  3. Step 3: Cross multiply
    158,307.50x = 341,873.50 × 341,873.50
  4. Step 4: Simplify right side
    158,307.50x = 116,877,490,002.25
  5. Step 5: Solve for x
    x = 116,877,490,002.25/158,307.50
  6. Step 6: Final answer
    x = 738,294.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.