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Finding the Third Proportional to 243,875.50 and 375,324

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Solution

The third proportional to 243,875.50 and 375,324 is: 577,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,875.50 : 375,324 = 375,324 : x
  2. Step 2: Convert to fraction form
    243,875.50/375,324 = 375,324/x
  3. Step 3: Cross multiply
    243,875.50x = 375,324 × 375,324
  4. Step 4: Simplify right side
    243,875.50x = 140,868,104,976
  5. Step 5: Solve for x
    x = 140,868,104,976/243,875.50
  6. Step 6: Final answer
    x = 577,623.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.