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Finding the Third Proportional to 156,547.69 and 235,537.03

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Solution

The third proportional to 156,547.69 and 235,537.03 is: 354,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,547.69 : 235,537.03 = 235,537.03 : x
  2. Step 2: Convert to fraction form
    156,547.69/235,537.03 = 235,537.03/x
  3. Step 3: Cross multiply
    156,547.69x = 235,537.03 × 235,537.03
  4. Step 4: Simplify right side
    156,547.69x = 55,477,693,090.06
  5. Step 5: Solve for x
    x = 55,477,693,090.06/156,547.69
  6. Step 6: Final answer
    x = 354,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.