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Finding the Third Proportional to 233,804 and 361,618

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Solution

The third proportional to 233,804 and 361,618 is: 559,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,804 : 361,618 = 361,618 : x
  2. Step 2: Convert to fraction form
    233,804/361,618 = 361,618/x
  3. Step 3: Cross multiply
    233,804x = 361,618 × 361,618
  4. Step 4: Simplify right side
    233,804x = 130,767,577,924
  5. Step 5: Solve for x
    x = 130,767,577,924/233,804
  6. Step 6: Final answer
    x = 559,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.