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Finding the Third Proportional to 176,702.50 and 368,309

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Solution

The third proportional to 176,702.50 and 368,309 is: 767,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,702.50 : 368,309 = 368,309 : x
  2. Step 2: Convert to fraction form
    176,702.50/368,309 = 368,309/x
  3. Step 3: Cross multiply
    176,702.50x = 368,309 × 368,309
  4. Step 4: Simplify right side
    176,702.50x = 135,651,519,481
  5. Step 5: Solve for x
    x = 135,651,519,481/176,702.50
  6. Step 6: Final answer
    x = 767,683.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.