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Finding the Third Proportional to 235,548 and 354,618

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Solution

The third proportional to 235,548 and 354,618 is: 533,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,548 : 354,618 = 354,618 : x
  2. Step 2: Convert to fraction form
    235,548/354,618 = 354,618/x
  3. Step 3: Cross multiply
    235,548x = 354,618 × 354,618
  4. Step 4: Simplify right side
    235,548x = 125,753,925,924
  5. Step 5: Solve for x
    x = 125,753,925,924/235,548
  6. Step 6: Final answer
    x = 533,878.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.