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Finding the Third Proportional to 157,075 and 224,359

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Solution

The third proportional to 157,075 and 224,359 is: 320,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,075 : 224,359 = 224,359 : x
  2. Step 2: Convert to fraction form
    157,075/224,359 = 224,359/x
  3. Step 3: Cross multiply
    157,075x = 224,359 × 224,359
  4. Step 4: Simplify right side
    157,075x = 50,336,960,881
  5. Step 5: Solve for x
    x = 50,336,960,881/157,075
  6. Step 6: Final answer
    x = 320,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.