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Finding the Third Proportional to 202,312 and 437,429

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Solution

The third proportional to 202,312 and 437,429 is: 945,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312 : 437,429 = 437,429 : x
  2. Step 2: Convert to fraction form
    202,312/437,429 = 437,429/x
  3. Step 3: Cross multiply
    202,312x = 437,429 × 437,429
  4. Step 4: Simplify right side
    202,312x = 191,344,130,041
  5. Step 5: Solve for x
    x = 191,344,130,041/202,312
  6. Step 6: Final answer
    x = 945,787.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.