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Finding the Third Proportional to 147,784.13 and 229,300.13

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Solution

The third proportional to 147,784.13 and 229,300.13 is: 355,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,784.13 : 229,300.13 = 229,300.13 : x
  2. Step 2: Convert to fraction form
    147,784.13/229,300.13 = 229,300.13/x
  3. Step 3: Cross multiply
    147,784.13x = 229,300.13 × 229,300.13
  4. Step 4: Simplify right side
    147,784.13x = 52,578,547,325.02
  5. Step 5: Solve for x
    x = 52,578,547,325.02/147,784.13
  6. Step 6: Final answer
    x = 355,779.40

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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.