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Finding the Third Proportional to 197,254.50 and 431,415

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Solution

The third proportional to 197,254.50 and 431,415 is: 943,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254.50 : 431,415 = 431,415 : x
  2. Step 2: Convert to fraction form
    197,254.50/431,415 = 431,415/x
  3. Step 3: Cross multiply
    197,254.50x = 431,415 × 431,415
  4. Step 4: Simplify right side
    197,254.50x = 186,118,902,225
  5. Step 5: Solve for x
    x = 186,118,902,225/197,254.50
  6. Step 6: Final answer
    x = 943,547.05

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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.