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Finding the Third Proportional to 153,054 and 330,700.50

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Solution

The third proportional to 153,054 and 330,700.50 is: 714,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054 : 330,700.50 = 330,700.50 : x
  2. Step 2: Convert to fraction form
    153,054/330,700.50 = 330,700.50/x
  3. Step 3: Cross multiply
    153,054x = 330,700.50 × 330,700.50
  4. Step 4: Simplify right side
    153,054x = 109,362,820,700.25
  5. Step 5: Solve for x
    x = 109,362,820,700.25/153,054
  6. Step 6: Final answer
    x = 714,537.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.