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Finding the Third Proportional to 174,528 and 256,247.50

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Solution

The third proportional to 174,528 and 256,247.50 is: 376,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528 : 256,247.50 = 256,247.50 : x
  2. Step 2: Convert to fraction form
    174,528/256,247.50 = 256,247.50/x
  3. Step 3: Cross multiply
    174,528x = 256,247.50 × 256,247.50
  4. Step 4: Simplify right side
    174,528x = 65,662,781,256.25
  5. Step 5: Solve for x
    x = 65,662,781,256.25/174,528
  6. Step 6: Final answer
    x = 376,230.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.