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Finding the Third Proportional to 145,974 and 316,870.50

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Solution

The third proportional to 145,974 and 316,870.50 is: 687,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,974 : 316,870.50 = 316,870.50 : x
  2. Step 2: Convert to fraction form
    145,974/316,870.50 = 316,870.50/x
  3. Step 3: Cross multiply
    145,974x = 316,870.50 × 316,870.50
  4. Step 4: Simplify right side
    145,974x = 100,406,913,770.25
  5. Step 5: Solve for x
    x = 100,406,913,770.25/145,974
  6. Step 6: Final answer
    x = 687,841.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.