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Finding the Third Proportional to 157,506 and 370,234.50

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Solution

The third proportional to 157,506 and 370,234.50 is: 870,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,506 : 370,234.50 = 370,234.50 : x
  2. Step 2: Convert to fraction form
    157,506/370,234.50 = 370,234.50/x
  3. Step 3: Cross multiply
    157,506x = 370,234.50 × 370,234.50
  4. Step 4: Simplify right side
    157,506x = 137,073,584,990.25
  5. Step 5: Solve for x
    x = 137,073,584,990.25/157,506
  6. Step 6: Final answer
    x = 870,275.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.