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Finding the Third Proportional to 233,448 and 340,952

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Solution

The third proportional to 233,448 and 340,952 is: 497,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,448 : 340,952 = 340,952 : x
  2. Step 2: Convert to fraction form
    233,448/340,952 = 340,952/x
  3. Step 3: Cross multiply
    233,448x = 340,952 × 340,952
  4. Step 4: Simplify right side
    233,448x = 116,248,266,304
  5. Step 5: Solve for x
    x = 116,248,266,304/233,448
  6. Step 6: Final answer
    x = 497,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.