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Finding the Third Proportional to 160,510.50 and 346,284

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Solution

The third proportional to 160,510.50 and 346,284 is: 747,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,510.50 : 346,284 = 346,284 : x
  2. Step 2: Convert to fraction form
    160,510.50/346,284 = 346,284/x
  3. Step 3: Cross multiply
    160,510.50x = 346,284 × 346,284
  4. Step 4: Simplify right side
    160,510.50x = 119,912,608,656
  5. Step 5: Solve for x
    x = 119,912,608,656/160,510.50
  6. Step 6: Final answer
    x = 747,070.18

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Why These Related Problems?

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