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Finding the Third Proportional to 175,810.50 and 384,699.38

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Solution

The third proportional to 175,810.50 and 384,699.38 is: 841,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,810.50 : 384,699.38 = 384,699.38 : x
  2. Step 2: Convert to fraction form
    175,810.50/384,699.38 = 384,699.38/x
  3. Step 3: Cross multiply
    175,810.50x = 384,699.38 × 384,699.38
  4. Step 4: Simplify right side
    175,810.50x = 147,993,609,125.39
  5. Step 5: Solve for x
    x = 147,993,609,125.39/175,810.50
  6. Step 6: Final answer
    x = 841,779.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.