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Finding the Third Proportional to 174,448 and 376,528

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Solution

The third proportional to 174,448 and 376,528 is: 812,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,448 : 376,528 = 376,528 : x
  2. Step 2: Convert to fraction form
    174,448/376,528 = 376,528/x
  3. Step 3: Cross multiply
    174,448x = 376,528 × 376,528
  4. Step 4: Simplify right side
    174,448x = 141,773,334,784
  5. Step 5: Solve for x
    x = 141,773,334,784/174,448
  6. Step 6: Final answer
    x = 812,696.82

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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.