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Finding the Third Proportional to 164,416 and 353,307.50

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Solution

The third proportional to 164,416 and 353,307.50 is: 759,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,416 : 353,307.50 = 353,307.50 : x
  2. Step 2: Convert to fraction form
    164,416/353,307.50 = 353,307.50/x
  3. Step 3: Cross multiply
    164,416x = 353,307.50 × 353,307.50
  4. Step 4: Simplify right side
    164,416x = 124,826,189,556.25
  5. Step 5: Solve for x
    x = 124,826,189,556.25/164,416
  6. Step 6: Final answer
    x = 759,209.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.